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<div class="title">opennurbs_nurbscurve.h</div>  </div>
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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="comment">/* $NoKeywords: $ */</span></div>
<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="comment">/*</span></div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment">// Copyright (c) 1993-2012 Robert McNeel &amp; Associates. All rights reserved.</span></div>
<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="comment">// OpenNURBS, Rhinoceros, and Rhino3D are registered trademarks of Robert</span></div>
<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="comment">// McNeel &amp; Associates.</span></div>
<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="comment">// THIS SOFTWARE IS PROVIDED &quot;AS IS&quot; WITHOUT EXPRESS OR IMPLIED WARRANTY.</span></div>
<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="comment">// ALL IMPLIED WARRANTIES OF FITNESS FOR ANY PARTICULAR PURPOSE AND OF</span></div>
<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="comment">// MERCHANTABILITY ARE HEREBY DISCLAIMED.</span></div>
<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="comment">//              </span></div>
<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="comment">// For complete openNURBS copyright information see &lt;http://www.opennurbs.org&gt;.</span></div>
<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="comment">*/</span></div>
<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160; </div>
<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="comment">//   Definition of NURBS curve</span></div>
<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#if !defined(OPENNURBS_NURBSCURVE_INC_)</span></div>
<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="preprocessor">#define OPENNURBS_NURBSCURVE_INC_</span></div>
<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160; </div>
<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;<span class="preprocessor">#include &lt;pcl/pcl_exports.h&gt;</span></div>
<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160; </div>
<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;<span class="keyword">class </span><a class="code" href="class_o_n___nurbs_curve.html">ON_NurbsCurve</a>;</div>
<div class="line"><a name="l00029"></a><span class="lineno"><a class="line" href="class_o_n___nurbs_curve.html">   29</a></span>&#160;<span class="keyword">class </span>PCL_EXPORTS ON_CLASS <a class="code" href="class_o_n___nurbs_curve.html">ON_NurbsCurve</a> : <span class="keyword">public</span> <a class="code" href="class_o_n___curve.html">ON_Curve</a></div>
<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;{</div>
<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;  ON_OBJECT_DECLARE(<a class="code" href="class_o_n___nurbs_curve.html">ON_NurbsCurve</a>);</div>
<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160; </div>
<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;<span class="comment">    Use ON_NurbsCurve::New(...) instead of new ON_NurbsCurve(...)</span></div>
<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;<span class="comment">    Pointer to an ON_NurbsCurve.  Destroy by calling delete.</span></div>
<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;<span class="comment">  Remarks:</span></div>
<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;<span class="comment">    See static ON_Brep* ON_Brep::New() for details.</span></div>
<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;  <span class="keyword">static</span> <a class="code" href="class_o_n___nurbs_curve.html">ON_NurbsCurve</a>* New();</div>
<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;  <span class="keyword">static</span> <a class="code" href="class_o_n___nurbs_curve.html">ON_NurbsCurve</a>* New(</div>
<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;            <span class="keyword">const</span> <a class="code" href="class_o_n___nurbs_curve.html">ON_NurbsCurve</a>&amp; nurbs_curve </div>
<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;            );</div>
<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;  <span class="keyword">static</span> <a class="code" href="class_o_n___nurbs_curve.html">ON_NurbsCurve</a>* New(</div>
<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;            <span class="keyword">const</span> <a class="code" href="class_o_n___bezier_curve.html">ON_BezierCurve</a>&amp; bezier_curve </div>
<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;            );</div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;  <span class="keyword">static</span> <a class="code" href="class_o_n___nurbs_curve.html">ON_NurbsCurve</a>* New(</div>
<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;            <span class="keywordtype">int</span> dimension,</div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;            ON_BOOL32 bIsRational,</div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;            <span class="keywordtype">int</span> order,</div>
<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;            <span class="keywordtype">int</span> cv_count</div>
<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;            );</div>
<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160; </div>
<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;  <a class="code" href="class_o_n___nurbs_curve.html">ON_NurbsCurve</a>();</div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;  <a class="code" href="class_o_n___nurbs_curve.html">ON_NurbsCurve</a>(<span class="keyword">const</span> <a class="code" href="class_o_n___nurbs_curve.html">ON_NurbsCurve</a>&amp;);</div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160; </div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;  <span class="comment">//   Create a NURBS curve equal to bezier with domain [0,1].</span></div>
<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;  <span class="comment">// Parameters:</span></div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;  <span class="comment">//   bezier_curve - [in]</span></div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;  <a class="code" href="class_o_n___nurbs_curve.html">ON_NurbsCurve</a>(</div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;        <span class="keyword">const</span> <a class="code" href="class_o_n___bezier_curve.html">ON_BezierCurve</a>&amp; bezier_curve</div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;        );</div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160; </div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;  <span class="comment">//   Create a NURBS curve with knot a cv memory allocated.</span></div>
<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;  <span class="comment">// Parameters:</span></div>
<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;  <span class="comment">//   dimension - [in] (&gt;= 1)</span></div>
<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;  <span class="comment">//   bIsRational - [in] true to make a rational NURBS</span></div>
<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;  <span class="comment">//   order - [in] (&gt;= 2) The order=degree+1</span></div>
<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;  <span class="comment">//   cv_count - [in] (&gt;= order) number of control vertices</span></div>
<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;  <a class="code" href="class_o_n___nurbs_curve.html">ON_NurbsCurve</a>(</div>
<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;          <span class="keywordtype">int</span> dimension,</div>
<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;          ON_BOOL32 bIsRational,</div>
<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;          <span class="keywordtype">int</span> order,</div>
<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;          <span class="keywordtype">int</span> cv_count</div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;          );</div>
<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160; </div>
<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;  <span class="comment">// virtual ON_Object::SizeOf override</span></div>
<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;  <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> SizeOf() <span class="keyword">const</span>;</div>
<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160; </div>
<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;  <span class="comment">// virtual ON_Object::DataCRC override</span></div>
<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;  ON__UINT32 DataCRC(ON__UINT32 current_remainder) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160; </div>
<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;<span class="comment">    See if this and other are same NURBS geometry.</span></div>
<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;<span class="comment">    other - [in] other NURBS curve</span></div>
<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;<span class="comment">    bIgnoreParameterization - [in] if true, parameterization</span></div>
<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;<span class="comment">             and orientaion are ignored.</span></div>
<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;<span class="comment">    tolerance - [in] tolerance to use when comparing</span></div>
<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;<span class="comment">                     control points.</span></div>
<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;<span class="comment">    true if curves are tne same.</span></div>
<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;  <span class="keywordtype">bool</span> IsDuplicate( </div>
<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;          <span class="keyword">const</span> <a class="code" href="class_o_n___nurbs_curve.html">ON_NurbsCurve</a>&amp; other, </div>
<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;          <span class="keywordtype">bool</span> bIgnoreParameterization,</div>
<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;          <span class="keywordtype">double</span> tolerance = ON_ZERO_TOLERANCE </div>
<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;          ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160; </div>
<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;  <span class="comment">//   Zeros all fields.</span></div>
<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;  <span class="keywordtype">void</span> Initialize(<span class="keywordtype">void</span>);</div>
<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160; </div>
<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;  <span class="comment">//   Create a NURBS curve with knot a cv memory allocated.</span></div>
<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;  <span class="comment">// Parameters:</span></div>
<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;  <span class="comment">//   dimension - [in] (&gt;= 1)</span></div>
<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;  <span class="comment">//   bIsRational - [in] true to make a rational NURBS</span></div>
<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;  <span class="comment">//   order - [in] (&gt;= 2) The order=degree+1</span></div>
<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;  <span class="comment">//   cv_count - [in] (&gt;= order) number of control vertices</span></div>
<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;  <span class="keywordtype">bool</span> Create( </div>
<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;          <span class="keywordtype">int</span> dimension,</div>
<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;          ON_BOOL32 bIsRational,</div>
<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;          <span class="keywordtype">int</span> order,</div>
<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;          <span class="keywordtype">int</span> cv_count</div>
<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;          );</div>
<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160; </div>
<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;  <span class="comment">//   Create a clamped uniform NURBS curve from a list</span></div>
<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;  <span class="comment">//   of control points</span></div>
<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;  <span class="comment">// Parameters:</span></div>
<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;  <span class="comment">//   dimension - [in] 1, 2 or 3</span></div>
<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;  <span class="comment">//   order - [in] (&gt;=2) order=degree+1</span></div>
<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;  <span class="comment">//   point_count - [in] (&gt;=order) number of control vertices</span></div>
<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;  <span class="comment">//   point - [in] array of control vertex locations.</span></div>
<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;  <span class="comment">//   knot_delta - [in] (&gt;0.0) knot spacing</span></div>
<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;  <span class="comment">// Returns:</span></div>
<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;  <span class="comment">//   true if successful</span></div>
<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;  <span class="keywordtype">bool</span> CreateClampedUniformNurbs( </div>
<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;          <span class="keywordtype">int</span> dimension,</div>
<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;          <span class="keywordtype">int</span> order,</div>
<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;          <span class="keywordtype">int</span> point_count,</div>
<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;          <span class="keyword">const</span> <a class="code" href="class_o_n__3d_point.html">ON_3dPoint</a>* point,</div>
<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;          <span class="keywordtype">double</span> knot_delta = 1.0</div>
<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;          );</div>
<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160; </div>
<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;  <span class="comment">//   Create a periodic uniform NURBS curve from a list</span></div>
<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;  <span class="comment">//   of control points</span></div>
<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;  <span class="comment">// Parameters:</span></div>
<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;  <span class="comment">//   dimension - [in] 1, 2 or 3</span></div>
<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;  <span class="comment">//   order - [in] (&gt;=2) order=degree+1</span></div>
<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;  <span class="comment">//   point_count - [in] (&gt;=max(3,order-1)) number of distinct control vertices</span></div>
<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;  <span class="comment">//   point - [in] array of distinct control vertex locations.</span></div>
<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;  <span class="comment">//   knot_delta - [in] (&gt;0.0) knot spacing</span></div>
<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;  <span class="comment">// Returns:</span></div>
<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;  <span class="comment">//   true if successful</span></div>
<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;  <span class="keywordtype">bool</span> CreatePeriodicUniformNurbs( </div>
<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;          <span class="keywordtype">int</span> dimension,</div>
<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;          <span class="keywordtype">int</span> order,</div>
<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;          <span class="keywordtype">int</span> point_count,</div>
<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;          <span class="keyword">const</span> <a class="code" href="class_o_n__3d_point.html">ON_3dPoint</a>* point,</div>
<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;          <span class="keywordtype">double</span> knot_delta = 1.0</div>
<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;          );</div>
<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160; </div>
<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;  <span class="comment">//   Deallocate knot and cv memory.  Zeros all fields.</span></div>
<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;  <span class="keywordtype">void</span> Destroy();</div>
<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160; </div>
<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;  <span class="keyword">virtual</span> ~<a class="code" href="class_o_n___nurbs_curve.html">ON_NurbsCurve</a>();</div>
<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160; </div>
<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;  <span class="comment">//   Call if memory used by ON_NurbsCurve becomes invalid.</span></div>
<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;  <span class="keywordtype">void</span> EmergencyDestroy(); </div>
<div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160; </div>
<div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;    <a class="code" href="class_o_n___nurbs_curve.html">ON_NurbsCurve</a>&amp; operator=(<span class="keyword">const</span> <a class="code" href="class_o_n___nurbs_curve.html">ON_NurbsCurve</a>&amp; src);</div>
<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160; </div>
<div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;  <span class="comment">//   Set NURBS curve equal to bezier with domain [0,1].</span></div>
<div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;  <span class="comment">// Parameters:</span></div>
<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;  <span class="comment">//   bezier_curve - [in]</span></div>
<div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;    <a class="code" href="class_o_n___nurbs_curve.html">ON_NurbsCurve</a>&amp; operator=(</div>
<div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;    <span class="keyword">const</span> <a class="code" href="class_o_n___bezier_curve.html">ON_BezierCurve</a>&amp; bezier_curve</div>
<div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;    );</div>
<div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160; </div>
<div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;  <span class="comment">// ON_Object overrides</span></div>
<div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160; </div>
<div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;<span class="comment">    Tests an object to see if its data members are correctly</span></div>
<div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;<span class="comment">    initialized.</span></div>
<div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;<span class="comment">    text_log - [in] if the object is not valid and text_log</span></div>
<div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;<span class="comment">        is not NULL, then a brief englis description of the</span></div>
<div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160;<span class="comment">        reason the object is not valid is appened to the log.</span></div>
<div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160;<span class="comment">        The information appended to text_log is suitable for </span></div>
<div class="line"><a name="l00193"></a><span class="lineno">  193</span>&#160;<span class="comment">        low-level debugging purposes by programmers and is </span></div>
<div class="line"><a name="l00194"></a><span class="lineno">  194</span>&#160;<span class="comment">        not intended to be useful as a high level user </span></div>
<div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160;<span class="comment">        interface tool.</span></div>
<div class="line"><a name="l00196"></a><span class="lineno">  196</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160;<span class="comment">    @untitled table</span></div>
<div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160;<span class="comment">    true     object is valid</span></div>
<div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160;<span class="comment">    false    object is invalid, uninitialized, etc.</span></div>
<div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160;<span class="comment">  Remarks:</span></div>
<div class="line"><a name="l00201"></a><span class="lineno">  201</span>&#160;<span class="comment">    Overrides virtual ON_Object::IsValid</span></div>
<div class="line"><a name="l00202"></a><span class="lineno">  202</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160;  ON_BOOL32 IsValid( <a class="code" href="class_o_n___text_log.html">ON_TextLog</a>* text_log = NULL ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00204"></a><span class="lineno">  204</span>&#160; </div>
<div class="line"><a name="l00205"></a><span class="lineno">  205</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00206"></a><span class="lineno">  206</span>&#160;  <span class="comment">//   virtual ON_Object::Dump override</span></div>
<div class="line"><a name="l00207"></a><span class="lineno">  207</span>&#160;  <span class="keywordtype">void</span> Dump( </div>
<div class="line"><a name="l00208"></a><span class="lineno">  208</span>&#160;    <a class="code" href="class_o_n___text_log.html">ON_TextLog</a>&amp; dump</div>
<div class="line"><a name="l00209"></a><span class="lineno">  209</span>&#160;    ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00210"></a><span class="lineno">  210</span>&#160; </div>
<div class="line"><a name="l00211"></a><span class="lineno">  211</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00212"></a><span class="lineno">  212</span>&#160;  <span class="comment">//   virtual ON_Object::Write override</span></div>
<div class="line"><a name="l00213"></a><span class="lineno">  213</span>&#160;  ON_BOOL32 Write(</div>
<div class="line"><a name="l00214"></a><span class="lineno">  214</span>&#160;         <a class="code" href="class_o_n___binary_archive.html">ON_BinaryArchive</a>&amp; binary_archive</div>
<div class="line"><a name="l00215"></a><span class="lineno">  215</span>&#160;       ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00216"></a><span class="lineno">  216</span>&#160; </div>
<div class="line"><a name="l00217"></a><span class="lineno">  217</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00218"></a><span class="lineno">  218</span>&#160;  <span class="comment">//   virtual ON_Object::Read override</span></div>
<div class="line"><a name="l00219"></a><span class="lineno">  219</span>&#160;  ON_BOOL32 Read(</div>
<div class="line"><a name="l00220"></a><span class="lineno">  220</span>&#160;         <a class="code" href="class_o_n___binary_archive.html">ON_BinaryArchive</a>&amp; binary_archive</div>
<div class="line"><a name="l00221"></a><span class="lineno">  221</span>&#160;       );</div>
<div class="line"><a name="l00222"></a><span class="lineno">  222</span>&#160; </div>
<div class="line"><a name="l00224"></a><span class="lineno">  224</span>&#160;  <span class="comment">// ON_Geometry overrides</span></div>
<div class="line"><a name="l00225"></a><span class="lineno">  225</span>&#160; </div>
<div class="line"><a name="l00226"></a><span class="lineno">  226</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00227"></a><span class="lineno">  227</span>&#160;  <span class="comment">//   virtual ON_Geometry::Dimension override</span></div>
<div class="line"><a name="l00228"></a><span class="lineno">  228</span>&#160;  <span class="comment">// Returns:</span></div>
<div class="line"><a name="l00229"></a><span class="lineno">  229</span>&#160;  <span class="comment">//   value of m_dim</span></div>
<div class="line"><a name="l00230"></a><span class="lineno">  230</span>&#160;  <span class="keywordtype">int</span> Dimension() <span class="keyword">const</span>;</div>
<div class="line"><a name="l00231"></a><span class="lineno">  231</span>&#160; </div>
<div class="line"><a name="l00232"></a><span class="lineno">  232</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00233"></a><span class="lineno">  233</span>&#160;  <span class="comment">//   virtual ON_Geometry::GetBBox override</span></div>
<div class="line"><a name="l00234"></a><span class="lineno">  234</span>&#160;  <span class="comment">//   Calculates axis aligned bounding box.</span></div>
<div class="line"><a name="l00235"></a><span class="lineno">  235</span>&#160;  <span class="comment">// Parameters:</span></div>
<div class="line"><a name="l00236"></a><span class="lineno">  236</span>&#160;  <span class="comment">//   boxmin - [in/out] array of Dimension() doubles</span></div>
<div class="line"><a name="l00237"></a><span class="lineno">  237</span>&#160;  <span class="comment">//   boxmax - [in/out] array of Dimension() doubles</span></div>
<div class="line"><a name="l00238"></a><span class="lineno">  238</span>&#160;  <span class="comment">//   bGrowBox - [in] (default=false) </span></div>
<div class="line"><a name="l00239"></a><span class="lineno">  239</span>&#160;  <span class="comment">//     If true, then the union of the input bbox and the </span></div>
<div class="line"><a name="l00240"></a><span class="lineno">  240</span>&#160;  <span class="comment">//     object&#39;s bounding box is returned in bbox.  </span></div>
<div class="line"><a name="l00241"></a><span class="lineno">  241</span>&#160;  <span class="comment">//     If false, the object&#39;s bounding box is returned in bbox.</span></div>
<div class="line"><a name="l00242"></a><span class="lineno">  242</span>&#160;  <span class="comment">// Returns:</span></div>
<div class="line"><a name="l00243"></a><span class="lineno">  243</span>&#160;  <span class="comment">//   true if object has bounding box and calculation was successful</span></div>
<div class="line"><a name="l00244"></a><span class="lineno">  244</span>&#160;  ON_BOOL32 GetBBox( <span class="comment">// returns true if successful</span></div>
<div class="line"><a name="l00245"></a><span class="lineno">  245</span>&#160;         <span class="keywordtype">double</span>* boxmin,</div>
<div class="line"><a name="l00246"></a><span class="lineno">  246</span>&#160;         <span class="keywordtype">double</span>* boxmax,</div>
<div class="line"><a name="l00247"></a><span class="lineno">  247</span>&#160;         <span class="keywordtype">int</span> bGrowBox = <span class="keyword">false</span></div>
<div class="line"><a name="l00248"></a><span class="lineno">  248</span>&#160;         ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00249"></a><span class="lineno">  249</span>&#160; </div>
<div class="line"><a name="l00250"></a><span class="lineno">  250</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00251"></a><span class="lineno">  251</span>&#160;  <span class="comment">//   virtual ON_Geometry::Transform override.</span></div>
<div class="line"><a name="l00252"></a><span class="lineno">  252</span>&#160;  <span class="comment">//   Transforms the NURBS curve.</span></div>
<div class="line"><a name="l00253"></a><span class="lineno">  253</span>&#160;  <span class="comment">//</span></div>
<div class="line"><a name="l00254"></a><span class="lineno">  254</span>&#160;  <span class="comment">// Parameters:</span></div>
<div class="line"><a name="l00255"></a><span class="lineno">  255</span>&#160;  <span class="comment">//   xform - [in] transformation to apply to object.</span></div>
<div class="line"><a name="l00256"></a><span class="lineno">  256</span>&#160;  <span class="comment">//</span></div>
<div class="line"><a name="l00257"></a><span class="lineno">  257</span>&#160;  <span class="comment">// Remarks:</span></div>
<div class="line"><a name="l00258"></a><span class="lineno">  258</span>&#160;  <span class="comment">//   When overriding this function, be sure to include a call</span></div>
<div class="line"><a name="l00259"></a><span class="lineno">  259</span>&#160;  <span class="comment">//   to ON_Object::TransformUserData() which takes care of </span></div>
<div class="line"><a name="l00260"></a><span class="lineno">  260</span>&#160;  <span class="comment">//   transforming any ON_UserData that may be attached to </span></div>
<div class="line"><a name="l00261"></a><span class="lineno">  261</span>&#160;  <span class="comment">//   the object.</span></div>
<div class="line"><a name="l00262"></a><span class="lineno">  262</span>&#160;  ON_BOOL32 Transform( </div>
<div class="line"><a name="l00263"></a><span class="lineno">  263</span>&#160;         <span class="keyword">const</span> <a class="code" href="class_o_n___xform.html">ON_Xform</a>&amp; xform</div>
<div class="line"><a name="l00264"></a><span class="lineno">  264</span>&#160;         );</div>
<div class="line"><a name="l00265"></a><span class="lineno">  265</span>&#160; </div>
<div class="line"><a name="l00266"></a><span class="lineno">  266</span>&#160;  <span class="comment">// virtual ON_Geometry::IsDeformable() override</span></div>
<div class="line"><a name="l00267"></a><span class="lineno">  267</span>&#160;  <span class="keywordtype">bool</span> IsDeformable() <span class="keyword">const</span>;</div>
<div class="line"><a name="l00268"></a><span class="lineno">  268</span>&#160; </div>
<div class="line"><a name="l00269"></a><span class="lineno">  269</span>&#160;  <span class="comment">// virtual ON_Geometry::MakeDeformable() override</span></div>
<div class="line"><a name="l00270"></a><span class="lineno">  270</span>&#160;  <span class="keywordtype">bool</span> MakeDeformable();</div>
<div class="line"><a name="l00271"></a><span class="lineno">  271</span>&#160; </div>
<div class="line"><a name="l00272"></a><span class="lineno">  272</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00273"></a><span class="lineno">  273</span>&#160;  <span class="comment">//   virtual ON_Geometry::SwapCoordinates override.</span></div>
<div class="line"><a name="l00274"></a><span class="lineno">  274</span>&#160;  <span class="comment">//   Swaps control vertex coordinate values with indices i and j.</span></div>
<div class="line"><a name="l00275"></a><span class="lineno">  275</span>&#160;  <span class="comment">// Parameters:</span></div>
<div class="line"><a name="l00276"></a><span class="lineno">  276</span>&#160;  <span class="comment">//   i - [in] coordinate index</span></div>
<div class="line"><a name="l00277"></a><span class="lineno">  277</span>&#160;  <span class="comment">//   j - [in] coordinate index</span></div>
<div class="line"><a name="l00278"></a><span class="lineno">  278</span>&#160;  ON_BOOL32 SwapCoordinates(</div>
<div class="line"><a name="l00279"></a><span class="lineno">  279</span>&#160;        <span class="keywordtype">int</span> i, </div>
<div class="line"><a name="l00280"></a><span class="lineno">  280</span>&#160;        <span class="keywordtype">int</span> j</div>
<div class="line"><a name="l00281"></a><span class="lineno">  281</span>&#160;        );</div>
<div class="line"><a name="l00282"></a><span class="lineno">  282</span>&#160; </div>
<div class="line"><a name="l00284"></a><span class="lineno">  284</span>&#160;  <span class="comment">// ON_Curve overrides</span></div>
<div class="line"><a name="l00285"></a><span class="lineno">  285</span>&#160; </div>
<div class="line"><a name="l00286"></a><span class="lineno">  286</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00287"></a><span class="lineno">  287</span>&#160;  <span class="comment">//   virtual ON_Curve::Domain override.</span></div>
<div class="line"><a name="l00288"></a><span class="lineno">  288</span>&#160;  <span class="comment">// Returns:</span></div>
<div class="line"><a name="l00289"></a><span class="lineno">  289</span>&#160;  <span class="comment">//   domain of the NURBS curve.</span></div>
<div class="line"><a name="l00290"></a><span class="lineno">  290</span>&#160;  <a class="code" href="class_o_n___interval.html">ON_Interval</a> Domain() <span class="keyword">const</span>;</div>
<div class="line"><a name="l00291"></a><span class="lineno">  291</span>&#160; </div>
<div class="line"><a name="l00292"></a><span class="lineno">  292</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00293"></a><span class="lineno">  293</span>&#160;  <span class="comment">//   virtual ON_Curve::SetDomain override.</span></div>
<div class="line"><a name="l00294"></a><span class="lineno">  294</span>&#160;  <span class="comment">//   Set the domain of the curve</span></div>
<div class="line"><a name="l00295"></a><span class="lineno">  295</span>&#160;  <span class="comment">// Parameters:</span></div>
<div class="line"><a name="l00296"></a><span class="lineno">  296</span>&#160;  <span class="comment">//   t0 - [in]</span></div>
<div class="line"><a name="l00297"></a><span class="lineno">  297</span>&#160;  <span class="comment">//   t1 - [in] new domain will be [t0,t1]</span></div>
<div class="line"><a name="l00298"></a><span class="lineno">  298</span>&#160;  <span class="comment">// Returns:</span></div>
<div class="line"><a name="l00299"></a><span class="lineno">  299</span>&#160;  <span class="comment">//   true if successful.</span></div>
<div class="line"><a name="l00300"></a><span class="lineno">  300</span>&#160;  ON_BOOL32 SetDomain(</div>
<div class="line"><a name="l00301"></a><span class="lineno">  301</span>&#160;        <span class="keywordtype">double</span> t0, </div>
<div class="line"><a name="l00302"></a><span class="lineno">  302</span>&#160;        <span class="keywordtype">double</span> t1 </div>
<div class="line"><a name="l00303"></a><span class="lineno">  303</span>&#160;        );</div>
<div class="line"><a name="l00304"></a><span class="lineno">  304</span>&#160; </div>
<div class="line"><a name="l00305"></a><span class="lineno">  305</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00306"></a><span class="lineno">  306</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00307"></a><span class="lineno">  307</span>&#160;<span class="comment">    If this curve is closed, then modify it so that</span></div>
<div class="line"><a name="l00308"></a><span class="lineno">  308</span>&#160;<span class="comment">    the start/end point is at curve parameter t.</span></div>
<div class="line"><a name="l00309"></a><span class="lineno">  309</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l00310"></a><span class="lineno">  310</span>&#160;<span class="comment">    t - [in] curve parameter of new start/end point.  The</span></div>
<div class="line"><a name="l00311"></a><span class="lineno">  311</span>&#160;<span class="comment">             returned curves domain will start at t.</span></div>
<div class="line"><a name="l00312"></a><span class="lineno">  312</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l00313"></a><span class="lineno">  313</span>&#160;<span class="comment">    true if successful.</span></div>
<div class="line"><a name="l00314"></a><span class="lineno">  314</span>&#160;<span class="comment">  Remarks:</span></div>
<div class="line"><a name="l00315"></a><span class="lineno">  315</span>&#160;<span class="comment">    Overrides virtual ON_Curve::ChangeClosedCurveSeam</span></div>
<div class="line"><a name="l00316"></a><span class="lineno">  316</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00317"></a><span class="lineno">  317</span>&#160;  ON_BOOL32 ChangeClosedCurveSeam( </div>
<div class="line"><a name="l00318"></a><span class="lineno">  318</span>&#160;            <span class="keywordtype">double</span> t </div>
<div class="line"><a name="l00319"></a><span class="lineno">  319</span>&#160;            );</div>
<div class="line"><a name="l00320"></a><span class="lineno">  320</span>&#160; </div>
<div class="line"><a name="l00321"></a><span class="lineno">  321</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00322"></a><span class="lineno">  322</span>&#160;  <span class="comment">//   virtual ON_Curve::SpanCount override.</span></div>
<div class="line"><a name="l00323"></a><span class="lineno">  323</span>&#160;  <span class="comment">//   Get number of nonempty smooth (c-infinity) spans in curve</span></div>
<div class="line"><a name="l00324"></a><span class="lineno">  324</span>&#160;  <span class="comment">// Returns:</span></div>
<div class="line"><a name="l00325"></a><span class="lineno">  325</span>&#160;  <span class="comment">//   Number of nonempty smooth (c-infinity) spans.</span></div>
<div class="line"><a name="l00326"></a><span class="lineno">  326</span>&#160;  <span class="comment">// Remarks:</span></div>
<div class="line"><a name="l00327"></a><span class="lineno">  327</span>&#160;  <span class="comment">//   A nonempty span is bracked by knots m_knot[i] &lt; m_knot[i+1]</span></div>
<div class="line"><a name="l00328"></a><span class="lineno">  328</span>&#160;  <span class="comment">//   with m_order-2 &lt;= i &lt; m_cv_count-1.</span></div>
<div class="line"><a name="l00329"></a><span class="lineno">  329</span>&#160;  <span class="keywordtype">int</span> SpanCount() <span class="keyword">const</span>;</div>
<div class="line"><a name="l00330"></a><span class="lineno">  330</span>&#160; </div>
<div class="line"><a name="l00331"></a><span class="lineno">  331</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00332"></a><span class="lineno">  332</span>&#160;  <span class="comment">//   virtual ON_Curve::GetSpanVector override.</span></div>
<div class="line"><a name="l00333"></a><span class="lineno">  333</span>&#160;  <span class="comment">//   Get number of parameters of distinct knots in NURBS curve&#39;s domain.</span></div>
<div class="line"><a name="l00334"></a><span class="lineno">  334</span>&#160;  <span class="comment">// Parameters:</span></div>
<div class="line"><a name="l00335"></a><span class="lineno">  335</span>&#160;  <span class="comment">//   knot_values - [out] an array of length SpanCount()+1 is </span></div>
<div class="line"><a name="l00336"></a><span class="lineno">  336</span>&#160;  <span class="comment">//       filled in with the distinct knot values in the list</span></div>
<div class="line"><a name="l00338"></a><span class="lineno">  338</span>&#160;<span class="comment"></span>  <span class="comment">// Returns:</span></div>
<div class="line"><a name="l00339"></a><span class="lineno">  339</span>&#160;  <span class="comment">//   true if successful</span></div>
<div class="line"><a name="l00340"></a><span class="lineno"><a class="line" href="class_o_n___nurbs_curve.html#af932729caddbae7bbf5baa29ecd50366">  340</a></span>&#160;  ON_BOOL32 <a class="code" href="class_o_n___nurbs_curve.html#af932729caddbae7bbf5baa29ecd50366">GetSpanVector</a>(</div>
<div class="line"><a name="l00341"></a><span class="lineno">  341</span>&#160;         <span class="keywordtype">double</span>* knot_values</div>
<div class="line"><a name="l00342"></a><span class="lineno">  342</span>&#160;         ) <span class="keyword">const</span>; <span class="comment">// </span></div>
<div class="line"><a name="l00343"></a><span class="lineno">  343</span>&#160; </div>
<div class="line"><a name="l00344"></a><span class="lineno">  344</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00345"></a><span class="lineno">  345</span>&#160;  <span class="comment">//   virtual ON_Curve::Degree override.</span></div>
<div class="line"><a name="l00346"></a><span class="lineno">  346</span>&#160;  <span class="comment">// Returns:</span></div>
<div class="line"><a name="l00347"></a><span class="lineno">  347</span>&#160;  <span class="comment">//   m_order-1</span></div>
<div class="line"><a name="l00348"></a><span class="lineno">  348</span>&#160;  <span class="keywordtype">int</span> Degree() <span class="keyword">const</span>; </div>
<div class="line"><a name="l00349"></a><span class="lineno">  349</span>&#160; </div>
<div class="line"><a name="l00350"></a><span class="lineno">  350</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00351"></a><span class="lineno">  351</span>&#160;  <span class="comment">//   virtual ON_Curve::GetParameterTolerance override.</span></div>
<div class="line"><a name="l00352"></a><span class="lineno">  352</span>&#160;  ON_BOOL32 GetParameterTolerance( <span class="comment">// returns tminus &lt; tplus: parameters tminus &lt;= s &lt;= tplus</span></div>
<div class="line"><a name="l00353"></a><span class="lineno">  353</span>&#160;         <span class="keywordtype">double</span> t,</div>
<div class="line"><a name="l00354"></a><span class="lineno">  354</span>&#160;         <span class="keywordtype">double</span>* tminus,</div>
<div class="line"><a name="l00355"></a><span class="lineno">  355</span>&#160;         <span class="keywordtype">double</span>* tplus</div>
<div class="line"><a name="l00356"></a><span class="lineno">  356</span>&#160;         ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00357"></a><span class="lineno">  357</span>&#160; </div>
<div class="line"><a name="l00358"></a><span class="lineno">  358</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00359"></a><span class="lineno">  359</span>&#160;  <span class="comment">//   virtual ON_Curve::IsLinear override.</span></div>
<div class="line"><a name="l00360"></a><span class="lineno">  360</span>&#160;  ON_BOOL32 IsLinear(</div>
<div class="line"><a name="l00361"></a><span class="lineno">  361</span>&#160;        <span class="keywordtype">double</span> tolerance = ON_ZERO_TOLERANCE</div>
<div class="line"><a name="l00362"></a><span class="lineno">  362</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00363"></a><span class="lineno">  363</span>&#160; </div>
<div class="line"><a name="l00364"></a><span class="lineno">  364</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00365"></a><span class="lineno">  365</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00366"></a><span class="lineno">  366</span>&#160;<span class="comment">    Several types of ON_Curve can have the form of a polyline including</span></div>
<div class="line"><a name="l00367"></a><span class="lineno">  367</span>&#160;<span class="comment">    a degree 1 ON_NurbsCurve, an ON_PolylineCurve, and an ON_PolyCurve</span></div>
<div class="line"><a name="l00368"></a><span class="lineno">  368</span>&#160;<span class="comment">    all of whose segments are some form of polyline.  IsPolyline tests</span></div>
<div class="line"><a name="l00369"></a><span class="lineno">  369</span>&#160;<span class="comment">    a curve to see if it can be represented as a polyline.</span></div>
<div class="line"><a name="l00370"></a><span class="lineno">  370</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l00371"></a><span class="lineno">  371</span>&#160;<span class="comment">    pline_points - [out] if not NULL and true is returned, then the</span></div>
<div class="line"><a name="l00372"></a><span class="lineno">  372</span>&#160;<span class="comment">        points of the polyline form are returned here.</span></div>
<div class="line"><a name="l00373"></a><span class="lineno">  373</span>&#160;<span class="comment">    t - [out] if not NULL and true is returned, then the parameters of</span></div>
<div class="line"><a name="l00374"></a><span class="lineno">  374</span>&#160;<span class="comment">        the polyline points are returned here.</span></div>
<div class="line"><a name="l00375"></a><span class="lineno">  375</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l00376"></a><span class="lineno">  376</span>&#160;<span class="comment">    @untitled table</span></div>
<div class="line"><a name="l00377"></a><span class="lineno">  377</span>&#160;<span class="comment">    0        curve is not some form of a polyline</span></div>
<div class="line"><a name="l00378"></a><span class="lineno">  378</span>&#160;<span class="comment">    &gt;=2      number of points in polyline form</span></div>
<div class="line"><a name="l00379"></a><span class="lineno">  379</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00380"></a><span class="lineno">  380</span>&#160;  <span class="keywordtype">int</span> IsPolyline(</div>
<div class="line"><a name="l00381"></a><span class="lineno">  381</span>&#160;        <a class="code" href="class_o_n___simple_array.html">ON_SimpleArray&lt;ON_3dPoint&gt;</a>* pline_points = NULL,</div>
<div class="line"><a name="l00382"></a><span class="lineno">  382</span>&#160;        <a class="code" href="class_o_n___simple_array.html">ON_SimpleArray&lt;double&gt;</a>* pline_t = NULL</div>
<div class="line"><a name="l00383"></a><span class="lineno">  383</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00384"></a><span class="lineno">  384</span>&#160; </div>
<div class="line"><a name="l00385"></a><span class="lineno">  385</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00386"></a><span class="lineno">  386</span>&#160;  <span class="comment">//   virtual ON_Curve::IsArc override.</span></div>
<div class="line"><a name="l00387"></a><span class="lineno">  387</span>&#160;  ON_BOOL32 IsArc(</div>
<div class="line"><a name="l00388"></a><span class="lineno">  388</span>&#160;        <span class="keyword">const</span> <a class="code" href="class_o_n___plane.html">ON_Plane</a>* plane = NULL,</div>
<div class="line"><a name="l00389"></a><span class="lineno">  389</span>&#160;        <a class="code" href="class_o_n___arc.html">ON_Arc</a>* arc = NULL,</div>
<div class="line"><a name="l00390"></a><span class="lineno">  390</span>&#160;        <span class="keywordtype">double</span> tolerance = ON_ZERO_TOLERANCE</div>
<div class="line"><a name="l00391"></a><span class="lineno">  391</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00392"></a><span class="lineno">  392</span>&#160; </div>
<div class="line"><a name="l00393"></a><span class="lineno">  393</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00394"></a><span class="lineno">  394</span>&#160;  <span class="comment">//   virtual ON_Curve::IsPlanar override.</span></div>
<div class="line"><a name="l00395"></a><span class="lineno">  395</span>&#160;  ON_BOOL32 IsPlanar(</div>
<div class="line"><a name="l00396"></a><span class="lineno">  396</span>&#160;        <a class="code" href="class_o_n___plane.html">ON_Plane</a>* plane = NULL,</div>
<div class="line"><a name="l00397"></a><span class="lineno">  397</span>&#160;        <span class="keywordtype">double</span> tolerance = ON_ZERO_TOLERANCE</div>
<div class="line"><a name="l00398"></a><span class="lineno">  398</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00399"></a><span class="lineno">  399</span>&#160; </div>
<div class="line"><a name="l00400"></a><span class="lineno">  400</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00401"></a><span class="lineno">  401</span>&#160;  <span class="comment">//   virtual ON_Curve::IsInPlane override.</span></div>
<div class="line"><a name="l00402"></a><span class="lineno">  402</span>&#160;  ON_BOOL32 IsInPlane(</div>
<div class="line"><a name="l00403"></a><span class="lineno">  403</span>&#160;        <span class="keyword">const</span> <a class="code" href="class_o_n___plane.html">ON_Plane</a>&amp; test_plane,</div>
<div class="line"><a name="l00404"></a><span class="lineno">  404</span>&#160;        <span class="keywordtype">double</span> tolerance = ON_ZERO_TOLERANCE</div>
<div class="line"><a name="l00405"></a><span class="lineno">  405</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00406"></a><span class="lineno">  406</span>&#160; </div>
<div class="line"><a name="l00407"></a><span class="lineno">  407</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00408"></a><span class="lineno">  408</span>&#160;  <span class="comment">//   virtual ON_Curve::IsClosed override.</span></div>
<div class="line"><a name="l00409"></a><span class="lineno">  409</span>&#160;  <span class="comment">// Returns:</span></div>
<div class="line"><a name="l00410"></a><span class="lineno">  410</span>&#160;  <span class="comment">//   true if NURBS curve is closed. (Either curve has</span></div>
<div class="line"><a name="l00411"></a><span class="lineno">  411</span>&#160;  <span class="comment">//   clamped end knots and euclidean location of start</span></div>
<div class="line"><a name="l00412"></a><span class="lineno">  412</span>&#160;  <span class="comment">//   CV = euclidean location of end CV, or curve is</span></div>
<div class="line"><a name="l00413"></a><span class="lineno">  413</span>&#160;  <span class="comment">//   periodic.)</span></div>
<div class="line"><a name="l00414"></a><span class="lineno">  414</span>&#160;  ON_BOOL32 IsClosed() <span class="keyword">const</span>;</div>
<div class="line"><a name="l00415"></a><span class="lineno">  415</span>&#160; </div>
<div class="line"><a name="l00416"></a><span class="lineno">  416</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00417"></a><span class="lineno">  417</span>&#160;  <span class="comment">//   virtual ON_Curve::IsPeriodic override.</span></div>
<div class="line"><a name="l00418"></a><span class="lineno">  418</span>&#160;  <span class="comment">// Returns:</span></div>
<div class="line"><a name="l00419"></a><span class="lineno">  419</span>&#160;  <span class="comment">//   true if NURBS curve is periodic (degree &gt; 1,</span></div>
<div class="line"><a name="l00420"></a><span class="lineno">  420</span>&#160;  <span class="comment">//   periodic knot vector, last degree many CVs </span></div>
<div class="line"><a name="l00421"></a><span class="lineno">  421</span>&#160;  <span class="comment">//   are duplicates of first degree many CVs).</span></div>
<div class="line"><a name="l00422"></a><span class="lineno">  422</span>&#160;  ON_BOOL32 IsPeriodic() <span class="keyword">const</span>;</div>
<div class="line"><a name="l00423"></a><span class="lineno">  423</span>&#160;  </div>
<div class="line"><a name="l00424"></a><span class="lineno">  424</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00425"></a><span class="lineno">  425</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00426"></a><span class="lineno">  426</span>&#160;<span class="comment">    Search for a derivatitive, tangent, or curvature discontinuity.</span></div>
<div class="line"><a name="l00427"></a><span class="lineno">  427</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l00428"></a><span class="lineno">  428</span>&#160;<span class="comment">    c - [in] type of continity to test for.  If ON::C1_continuous</span></div>
<div class="line"><a name="l00429"></a><span class="lineno">  429</span>&#160;<span class="comment">    t0 - [in] search begins at t0</span></div>
<div class="line"><a name="l00430"></a><span class="lineno">  430</span>&#160;<span class="comment">    t1 - [in] (t0 &lt; t1) search ends at t1</span></div>
<div class="line"><a name="l00431"></a><span class="lineno">  431</span>&#160;<span class="comment">    t - [out] if a discontinuity is found, the *t reports the</span></div>
<div class="line"><a name="l00432"></a><span class="lineno">  432</span>&#160;<span class="comment">          parameter at the discontinuity.</span></div>
<div class="line"><a name="l00433"></a><span class="lineno">  433</span>&#160;<span class="comment">    hint - [in/out] if GetNextDiscontinuity will be called repeatedly,</span></div>
<div class="line"><a name="l00434"></a><span class="lineno">  434</span>&#160;<span class="comment">       passing a &quot;hint&quot; with initial value *hint=0 will increase the speed</span></div>
<div class="line"><a name="l00435"></a><span class="lineno">  435</span>&#160;<span class="comment">       of the search.       </span></div>
<div class="line"><a name="l00436"></a><span class="lineno">  436</span>&#160;<span class="comment">    dtype - [out] if not NULL, *dtype reports the kind of discontinuity</span></div>
<div class="line"><a name="l00437"></a><span class="lineno">  437</span>&#160;<span class="comment">        found at *t.  A value of 1 means the first derivative or unit tangent</span></div>
<div class="line"><a name="l00438"></a><span class="lineno">  438</span>&#160;<span class="comment">        was discontinuous.  A value of 2 means the second derivative or</span></div>
<div class="line"><a name="l00439"></a><span class="lineno">  439</span>&#160;<span class="comment">        curvature was discontinuous.</span></div>
<div class="line"><a name="l00440"></a><span class="lineno">  440</span>&#160;<span class="comment">    cos_angle_tolerance - [in] default = cos(1 degree) Used only when</span></div>
<div class="line"><a name="l00441"></a><span class="lineno">  441</span>&#160;<span class="comment">        c is ON::G1_continuous or ON::G2_continuous.  If the cosine</span></div>
<div class="line"><a name="l00442"></a><span class="lineno">  442</span>&#160;<span class="comment">        of the angle between two tangent vectors </span></div>
<div class="line"><a name="l00443"></a><span class="lineno">  443</span>&#160;<span class="comment">        is &lt;= cos_angle_tolerance, then a G1 discontinuity is reported.</span></div>
<div class="line"><a name="l00444"></a><span class="lineno">  444</span>&#160;<span class="comment">    curvature_tolerance - [in] (default = ON_SQRT_EPSILON) Used only when</span></div>
<div class="line"><a name="l00445"></a><span class="lineno">  445</span>&#160;<span class="comment">        c is ON::G2_continuous or ON::Gsmooth_continuous.  </span></div>
<div class="line"><a name="l00446"></a><span class="lineno">  446</span>&#160;<span class="comment">        ON::G2_continuous:</span></div>
<div class="line"><a name="l00447"></a><span class="lineno">  447</span>&#160;<span class="comment">          If K0 and K1 are curvatures evaluated</span></div>
<div class="line"><a name="l00448"></a><span class="lineno">  448</span>&#160;<span class="comment">          from above and below and |K0 - K1| &gt; curvature_tolerance,</span></div>
<div class="line"><a name="l00449"></a><span class="lineno">  449</span>&#160;<span class="comment">          then a curvature discontinuity is reported.</span></div>
<div class="line"><a name="l00450"></a><span class="lineno">  450</span>&#160;<span class="comment">        ON::Gsmooth_continuous:</span></div>
<div class="line"><a name="l00451"></a><span class="lineno">  451</span>&#160;<span class="comment">          If K0 and K1 are curvatures evaluated from above and below</span></div>
<div class="line"><a name="l00452"></a><span class="lineno">  452</span>&#160;<span class="comment">          and the angle between K0 and K1 is at least twice angle tolerance</span></div>
<div class="line"><a name="l00453"></a><span class="lineno">  453</span>&#160;<span class="comment">          or ||K0| - |K1|| &gt; (max(|K0|,|K1|) &gt; curvature_tolerance,</span></div>
<div class="line"><a name="l00454"></a><span class="lineno">  454</span>&#160;<span class="comment">          then a curvature discontinuity is reported.</span></div>
<div class="line"><a name="l00455"></a><span class="lineno">  455</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l00456"></a><span class="lineno">  456</span>&#160;<span class="comment">    true if a discontinuity was found on the interior of the interval (t0,t1).</span></div>
<div class="line"><a name="l00457"></a><span class="lineno">  457</span>&#160;<span class="comment">  Remarks:</span></div>
<div class="line"><a name="l00458"></a><span class="lineno">  458</span>&#160;<span class="comment">    Overrides ON_Curve::GetNextDiscontinuity.</span></div>
<div class="line"><a name="l00459"></a><span class="lineno">  459</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00460"></a><span class="lineno">  460</span>&#160;  <span class="keywordtype">bool</span> GetNextDiscontinuity( </div>
<div class="line"><a name="l00461"></a><span class="lineno">  461</span>&#160;                  ON::continuity c,</div>
<div class="line"><a name="l00462"></a><span class="lineno">  462</span>&#160;                  <span class="keywordtype">double</span> t0,</div>
<div class="line"><a name="l00463"></a><span class="lineno">  463</span>&#160;                  <span class="keywordtype">double</span> t1,</div>
<div class="line"><a name="l00464"></a><span class="lineno">  464</span>&#160;                  <span class="keywordtype">double</span>* t,</div>
<div class="line"><a name="l00465"></a><span class="lineno">  465</span>&#160;                  <span class="keywordtype">int</span>* hint=NULL,</div>
<div class="line"><a name="l00466"></a><span class="lineno">  466</span>&#160;                  <span class="keywordtype">int</span>* dtype=NULL,</div>
<div class="line"><a name="l00467"></a><span class="lineno">  467</span>&#160;                  <span class="keywordtype">double</span> cos_angle_tolerance=ON_DEFAULT_ANGLE_TOLERANCE_COSINE,</div>
<div class="line"><a name="l00468"></a><span class="lineno">  468</span>&#160;                  <span class="keywordtype">double</span> curvature_tolerance=ON_SQRT_EPSILON</div>
<div class="line"><a name="l00469"></a><span class="lineno">  469</span>&#160;                  ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00470"></a><span class="lineno">  470</span>&#160; </div>
<div class="line"><a name="l00471"></a><span class="lineno">  471</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00472"></a><span class="lineno">  472</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00473"></a><span class="lineno">  473</span>&#160;<span class="comment">    Test continuity at a curve parameter value.</span></div>
<div class="line"><a name="l00474"></a><span class="lineno">  474</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l00475"></a><span class="lineno">  475</span>&#160;<span class="comment">    c - [in] continuity to test for</span></div>
<div class="line"><a name="l00476"></a><span class="lineno">  476</span>&#160;<span class="comment">    t - [in] parameter to test</span></div>
<div class="line"><a name="l00477"></a><span class="lineno">  477</span>&#160;<span class="comment">    hint - [in] evaluation hint</span></div>
<div class="line"><a name="l00478"></a><span class="lineno">  478</span>&#160;<span class="comment">    point_tolerance - [in] if the distance between two points is</span></div>
<div class="line"><a name="l00479"></a><span class="lineno">  479</span>&#160;<span class="comment">        greater than point_tolerance, then the curve is not C0.</span></div>
<div class="line"><a name="l00480"></a><span class="lineno">  480</span>&#160;<span class="comment">    d1_tolerance - [in] if the difference between two first derivatives is</span></div>
<div class="line"><a name="l00481"></a><span class="lineno">  481</span>&#160;<span class="comment">        greater than d1_tolerance, then the curve is not C1.</span></div>
<div class="line"><a name="l00482"></a><span class="lineno">  482</span>&#160;<span class="comment">    d2_tolerance - [in] if the difference between two second derivatives is</span></div>
<div class="line"><a name="l00483"></a><span class="lineno">  483</span>&#160;<span class="comment">        greater than d2_tolerance, then the curve is not C2.</span></div>
<div class="line"><a name="l00484"></a><span class="lineno">  484</span>&#160;<span class="comment">    cos_angle_tolerance - [in] default = cos(1 degree) Used only when</span></div>
<div class="line"><a name="l00485"></a><span class="lineno">  485</span>&#160;<span class="comment">        c is ON::G1_continuous or ON::G2_continuous.  If the cosine</span></div>
<div class="line"><a name="l00486"></a><span class="lineno">  486</span>&#160;<span class="comment">        of the angle between two tangent vectors </span></div>
<div class="line"><a name="l00487"></a><span class="lineno">  487</span>&#160;<span class="comment">        is &lt;= cos_angle_tolerance, then a G1 discontinuity is reported.</span></div>
<div class="line"><a name="l00488"></a><span class="lineno">  488</span>&#160;<span class="comment">    curvature_tolerance - [in] (default = ON_SQRT_EPSILON) Used only when</span></div>
<div class="line"><a name="l00489"></a><span class="lineno">  489</span>&#160;<span class="comment">        c is ON::G2_continuous or ON::Gsmooth_continuous.  </span></div>
<div class="line"><a name="l00490"></a><span class="lineno">  490</span>&#160;<span class="comment">        ON::G2_continuous:</span></div>
<div class="line"><a name="l00491"></a><span class="lineno">  491</span>&#160;<span class="comment">          If K0 and K1 are curvatures evaluated</span></div>
<div class="line"><a name="l00492"></a><span class="lineno">  492</span>&#160;<span class="comment">          from above and below and |K0 - K1| &gt; curvature_tolerance,</span></div>
<div class="line"><a name="l00493"></a><span class="lineno">  493</span>&#160;<span class="comment">          then a curvature discontinuity is reported.</span></div>
<div class="line"><a name="l00494"></a><span class="lineno">  494</span>&#160;<span class="comment">        ON::Gsmooth_continuous:</span></div>
<div class="line"><a name="l00495"></a><span class="lineno">  495</span>&#160;<span class="comment">          If K0 and K1 are curvatures evaluated from above and below</span></div>
<div class="line"><a name="l00496"></a><span class="lineno">  496</span>&#160;<span class="comment">          and the angle between K0 and K1 is at least twice angle tolerance</span></div>
<div class="line"><a name="l00497"></a><span class="lineno">  497</span>&#160;<span class="comment">          or ||K0| - |K1|| &gt; (max(|K0|,|K1|) &gt; curvature_tolerance,</span></div>
<div class="line"><a name="l00498"></a><span class="lineno">  498</span>&#160;<span class="comment">          then a curvature discontinuity is reported.</span></div>
<div class="line"><a name="l00499"></a><span class="lineno">  499</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l00500"></a><span class="lineno">  500</span>&#160;<span class="comment">    true if the curve has at least the c type continuity at the parameter t.</span></div>
<div class="line"><a name="l00501"></a><span class="lineno">  501</span>&#160;<span class="comment">  Remarks:</span></div>
<div class="line"><a name="l00502"></a><span class="lineno">  502</span>&#160;<span class="comment">    Overrides ON_Curve::IsContinuous.</span></div>
<div class="line"><a name="l00503"></a><span class="lineno">  503</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00504"></a><span class="lineno">  504</span>&#160;  <span class="keywordtype">bool</span> IsContinuous(</div>
<div class="line"><a name="l00505"></a><span class="lineno">  505</span>&#160;    ON::continuity c,</div>
<div class="line"><a name="l00506"></a><span class="lineno">  506</span>&#160;    <span class="keywordtype">double</span> t, </div>
<div class="line"><a name="l00507"></a><span class="lineno">  507</span>&#160;    <span class="keywordtype">int</span>* hint = NULL,</div>
<div class="line"><a name="l00508"></a><span class="lineno">  508</span>&#160;    <span class="keywordtype">double</span> point_tolerance=ON_ZERO_TOLERANCE,</div>
<div class="line"><a name="l00509"></a><span class="lineno">  509</span>&#160;    <span class="keywordtype">double</span> d1_tolerance=ON_ZERO_TOLERANCE,</div>
<div class="line"><a name="l00510"></a><span class="lineno">  510</span>&#160;    <span class="keywordtype">double</span> d2_tolerance=ON_ZERO_TOLERANCE,</div>
<div class="line"><a name="l00511"></a><span class="lineno">  511</span>&#160;    <span class="keywordtype">double</span> cos_angle_tolerance=ON_DEFAULT_ANGLE_TOLERANCE_COSINE,</div>
<div class="line"><a name="l00512"></a><span class="lineno">  512</span>&#160;    <span class="keywordtype">double</span> curvature_tolerance=ON_SQRT_EPSILON</div>
<div class="line"><a name="l00513"></a><span class="lineno">  513</span>&#160;    ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00514"></a><span class="lineno">  514</span>&#160; </div>
<div class="line"><a name="l00515"></a><span class="lineno">  515</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00516"></a><span class="lineno">  516</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00517"></a><span class="lineno">  517</span>&#160;<span class="comment">    Force the curve to start at a specified point.</span></div>
<div class="line"><a name="l00518"></a><span class="lineno">  518</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l00519"></a><span class="lineno">  519</span>&#160;<span class="comment">    start_point - [in]</span></div>
<div class="line"><a name="l00520"></a><span class="lineno">  520</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l00521"></a><span class="lineno">  521</span>&#160;<span class="comment">    true if successful.</span></div>
<div class="line"><a name="l00522"></a><span class="lineno">  522</span>&#160;<span class="comment">  Remarks:</span></div>
<div class="line"><a name="l00523"></a><span class="lineno">  523</span>&#160;<span class="comment">    Some end points cannot be moved.  Be sure to check return</span></div>
<div class="line"><a name="l00524"></a><span class="lineno">  524</span>&#160;<span class="comment">    code.</span></div>
<div class="line"><a name="l00525"></a><span class="lineno">  525</span>&#160;<span class="comment">  See Also:</span></div>
<div class="line"><a name="l00526"></a><span class="lineno">  526</span>&#160;<span class="comment">    ON_Curve::SetEndPoint</span></div>
<div class="line"><a name="l00527"></a><span class="lineno">  527</span>&#160;<span class="comment">    ON_Curve::PointAtStart</span></div>
<div class="line"><a name="l00528"></a><span class="lineno">  528</span>&#160;<span class="comment">    ON_Curve::PointAtEnd</span></div>
<div class="line"><a name="l00529"></a><span class="lineno">  529</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00530"></a><span class="lineno">  530</span>&#160;  <span class="comment">//virtual</span></div>
<div class="line"><a name="l00531"></a><span class="lineno">  531</span>&#160;  ON_BOOL32 SetStartPoint(</div>
<div class="line"><a name="l00532"></a><span class="lineno">  532</span>&#160;          <a class="code" href="class_o_n__3d_point.html">ON_3dPoint</a> start_point</div>
<div class="line"><a name="l00533"></a><span class="lineno">  533</span>&#160;          );</div>
<div class="line"><a name="l00534"></a><span class="lineno">  534</span>&#160; </div>
<div class="line"><a name="l00535"></a><span class="lineno">  535</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00536"></a><span class="lineno">  536</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00537"></a><span class="lineno">  537</span>&#160;<span class="comment">    Force the curve to end at a specified point.</span></div>
<div class="line"><a name="l00538"></a><span class="lineno">  538</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l00539"></a><span class="lineno">  539</span>&#160;<span class="comment">    end_point - [in]</span></div>
<div class="line"><a name="l00540"></a><span class="lineno">  540</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l00541"></a><span class="lineno">  541</span>&#160;<span class="comment">    true if successful.</span></div>
<div class="line"><a name="l00542"></a><span class="lineno">  542</span>&#160;<span class="comment">  Remarks:</span></div>
<div class="line"><a name="l00543"></a><span class="lineno">  543</span>&#160;<span class="comment">    Some end points cannot be moved.  Be sure to check return</span></div>
<div class="line"><a name="l00544"></a><span class="lineno">  544</span>&#160;<span class="comment">    code.</span></div>
<div class="line"><a name="l00545"></a><span class="lineno">  545</span>&#160;<span class="comment">  See Also:</span></div>
<div class="line"><a name="l00546"></a><span class="lineno">  546</span>&#160;<span class="comment">    ON_Curve::SetStartPoint</span></div>
<div class="line"><a name="l00547"></a><span class="lineno">  547</span>&#160;<span class="comment">    ON_Curve::PointAtStart</span></div>
<div class="line"><a name="l00548"></a><span class="lineno">  548</span>&#160;<span class="comment">    ON_Curve::PointAtEnd</span></div>
<div class="line"><a name="l00549"></a><span class="lineno">  549</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00550"></a><span class="lineno">  550</span>&#160;  <span class="comment">//virtual</span></div>
<div class="line"><a name="l00551"></a><span class="lineno">  551</span>&#160;  ON_BOOL32 SetEndPoint(</div>
<div class="line"><a name="l00552"></a><span class="lineno">  552</span>&#160;          <a class="code" href="class_o_n__3d_point.html">ON_3dPoint</a> end_point</div>
<div class="line"><a name="l00553"></a><span class="lineno">  553</span>&#160;          );</div>
<div class="line"><a name="l00554"></a><span class="lineno">  554</span>&#160; </div>
<div class="line"><a name="l00555"></a><span class="lineno">  555</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00556"></a><span class="lineno">  556</span>&#160;  <span class="comment">//   virtual ON_Curve::Reverse override.</span></div>
<div class="line"><a name="l00557"></a><span class="lineno">  557</span>&#160;  <span class="comment">//   Reverse parameterizatrion by negating all knots</span></div>
<div class="line"><a name="l00558"></a><span class="lineno">  558</span>&#160;  <span class="comment">//   and reversing the order of the control vertices.</span></div>
<div class="line"><a name="l00559"></a><span class="lineno">  559</span>&#160;  <span class="comment">// Remarks:</span></div>
<div class="line"><a name="l00560"></a><span class="lineno">  560</span>&#160;  <span class="comment">//   Domain changes from [a,b] to [-b,-a]</span></div>
<div class="line"><a name="l00561"></a><span class="lineno">  561</span>&#160;  ON_BOOL32 Reverse();       </div>
<div class="line"><a name="l00562"></a><span class="lineno">  562</span>&#160; </div>
<div class="line"><a name="l00563"></a><span class="lineno">  563</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00564"></a><span class="lineno">  564</span>&#160;  <span class="comment">//   virtual ON_Curve::Evaluate override.</span></div>
<div class="line"><a name="l00565"></a><span class="lineno">  565</span>&#160;  ON_BOOL32 Evaluate( <span class="comment">// returns false if unable to evaluate</span></div>
<div class="line"><a name="l00566"></a><span class="lineno">  566</span>&#160;         <span class="keywordtype">double</span>,         <span class="comment">// evaluation parameter</span></div>
<div class="line"><a name="l00567"></a><span class="lineno">  567</span>&#160;         <span class="keywordtype">int</span>,            <span class="comment">// number of derivatives (&gt;=0)</span></div>
<div class="line"><a name="l00568"></a><span class="lineno">  568</span>&#160;         <span class="keywordtype">int</span>,            <span class="comment">// array stride (&gt;=Dimension())</span></div>
<div class="line"><a name="l00569"></a><span class="lineno">  569</span>&#160;         <span class="keywordtype">double</span>*,        <span class="comment">// array of length stride*(ndir+1)</span></div>
<div class="line"><a name="l00570"></a><span class="lineno">  570</span>&#160;         <span class="keywordtype">int</span> = 0,        <span class="comment">// optional - determines which side to evaluate from</span></div>
<div class="line"><a name="l00571"></a><span class="lineno">  571</span>&#160;                         <span class="comment">//         0 = default</span></div>
<div class="line"><a name="l00572"></a><span class="lineno">  572</span>&#160;                         <span class="comment">//      &lt;  0 to evaluate from below, </span></div>
<div class="line"><a name="l00573"></a><span class="lineno">  573</span>&#160;                         <span class="comment">//      &gt;  0 to evaluate from above</span></div>
<div class="line"><a name="l00574"></a><span class="lineno">  574</span>&#160;         <span class="keywordtype">int</span>* = 0        <span class="comment">// optional - evaluation hint (int) used to speed</span></div>
<div class="line"><a name="l00575"></a><span class="lineno">  575</span>&#160;                         <span class="comment">//            repeated evaluations</span></div>
<div class="line"><a name="l00576"></a><span class="lineno">  576</span>&#160;         ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00577"></a><span class="lineno">  577</span>&#160; </div>
<div class="line"><a name="l00578"></a><span class="lineno">  578</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00579"></a><span class="lineno">  579</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l00580"></a><span class="lineno">  580</span>&#160;<span class="comment">    span_index - [in]</span></div>
<div class="line"><a name="l00581"></a><span class="lineno">  581</span>&#160;<span class="comment">      (0 &lt;= span_index &lt;= m_cv_count-m_order)</span></div>
<div class="line"><a name="l00582"></a><span class="lineno">  582</span>&#160;<span class="comment">    min_length -[in]</span></div>
<div class="line"><a name="l00583"></a><span class="lineno">  583</span>&#160;<span class="comment">      minimum length of a linear span</span></div>
<div class="line"><a name="l00584"></a><span class="lineno">  584</span>&#160;<span class="comment">    tolerance -[in]</span></div>
<div class="line"><a name="l00585"></a><span class="lineno">  585</span>&#160;<span class="comment">      distance tolerance to use when checking control points</span></div>
<div class="line"><a name="l00586"></a><span class="lineno">  586</span>&#160;<span class="comment">      between the span ends</span></div>
<div class="line"><a name="l00587"></a><span class="lineno">  587</span>&#160;<span class="comment">  Returns </span></div>
<div class="line"><a name="l00588"></a><span class="lineno">  588</span>&#160;<span class="comment">    true if the span is a non-degenrate line.  This means:</span></div>
<div class="line"><a name="l00589"></a><span class="lineno">  589</span>&#160;<span class="comment">    - dimension = 2 or 3</span></div>
<div class="line"><a name="l00590"></a><span class="lineno">  590</span>&#160;<span class="comment">    - There are full multiplicity knots at each end of the span.</span></div>
<div class="line"><a name="l00591"></a><span class="lineno">  591</span>&#160;<span class="comment">    - The length of the the line segment from the span&#39;s initial </span></div>
<div class="line"><a name="l00592"></a><span class="lineno">  592</span>&#160;<span class="comment">      control point to the span&#39;s final control point is </span></div>
<div class="line"><a name="l00593"></a><span class="lineno">  593</span>&#160;<span class="comment">      &gt;= min_length.</span></div>
<div class="line"><a name="l00594"></a><span class="lineno">  594</span>&#160;<span class="comment">    - The distance from the line segment to the interior control points</span></div>
<div class="line"><a name="l00595"></a><span class="lineno">  595</span>&#160;<span class="comment">      is &lt;= tolerance and the projections of these points onto</span></div>
<div class="line"><a name="l00596"></a><span class="lineno">  596</span>&#160;<span class="comment">      the line increases monotonically.</span></div>
<div class="line"><a name="l00597"></a><span class="lineno">  597</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00598"></a><span class="lineno">  598</span>&#160;  <span class="keywordtype">bool</span> SpanIsLinear( </div>
<div class="line"><a name="l00599"></a><span class="lineno">  599</span>&#160;    <span class="keywordtype">int</span> span_index, </div>
<div class="line"><a name="l00600"></a><span class="lineno">  600</span>&#160;    <span class="keywordtype">double</span> min_length,</div>
<div class="line"><a name="l00601"></a><span class="lineno">  601</span>&#160;    <span class="keywordtype">double</span> tolerance</div>
<div class="line"><a name="l00602"></a><span class="lineno">  602</span>&#160;    ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00603"></a><span class="lineno">  603</span>&#160; </div>
<div class="line"><a name="l00604"></a><span class="lineno">  604</span>&#160;  <span class="keywordtype">bool</span> SpanIsLinear( </div>
<div class="line"><a name="l00605"></a><span class="lineno">  605</span>&#160;    <span class="keywordtype">int</span> span_index, </div>
<div class="line"><a name="l00606"></a><span class="lineno">  606</span>&#160;    <span class="keywordtype">double</span> min_length,</div>
<div class="line"><a name="l00607"></a><span class="lineno">  607</span>&#160;    <span class="keywordtype">double</span> tolerance,</div>
<div class="line"><a name="l00608"></a><span class="lineno">  608</span>&#160;    <a class="code" href="class_o_n___line.html">ON_Line</a>* line</div>
<div class="line"><a name="l00609"></a><span class="lineno">  609</span>&#160;    ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00610"></a><span class="lineno">  610</span>&#160; </div>
<div class="line"><a name="l00611"></a><span class="lineno">  611</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00612"></a><span class="lineno">  612</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00613"></a><span class="lineno">  613</span>&#160;<span class="comment">    Looks for problems caused by knots that are close together</span></div>
<div class="line"><a name="l00614"></a><span class="lineno">  614</span>&#160;<span class="comment">    or have mulitplicity &gt;= order. If bRepair is true, the problems</span></div>
<div class="line"><a name="l00615"></a><span class="lineno">  615</span>&#160;<span class="comment">    are fixed.  Does not change the domain.</span></div>
<div class="line"><a name="l00616"></a><span class="lineno">  616</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l00617"></a><span class="lineno">  617</span>&#160;<span class="comment">    knot_tolerance - [in] &gt;= 0  When in doubt, use zero.</span></div>
<div class="line"><a name="l00618"></a><span class="lineno">  618</span>&#160;<span class="comment">    bRepair - [in] If true, then problems are repaired.</span></div>
<div class="line"><a name="l00619"></a><span class="lineno">  619</span>&#160;<span class="comment">      Otherwise this function looks for problemsn that</span></div>
<div class="line"><a name="l00620"></a><span class="lineno">  620</span>&#160;<span class="comment">      can be repaired, but does not modify the curve.</span></div>
<div class="line"><a name="l00621"></a><span class="lineno">  621</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l00622"></a><span class="lineno">  622</span>&#160;<span class="comment">    True if bad knots were found and can be repaired.</span></div>
<div class="line"><a name="l00623"></a><span class="lineno">  623</span>&#160;<span class="comment">  See Also:</span></div>
<div class="line"><a name="l00624"></a><span class="lineno">  624</span>&#160;<span class="comment">    ON_NurbsCurve::RemoveShortSegments</span></div>
<div class="line"><a name="l00625"></a><span class="lineno">  625</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00626"></a><span class="lineno">  626</span>&#160;  <span class="keywordtype">bool</span> RepairBadKnots(</div>
<div class="line"><a name="l00627"></a><span class="lineno">  627</span>&#160;    <span class="keywordtype">double</span> knot_tolerance=0.0,</div>
<div class="line"><a name="l00628"></a><span class="lineno">  628</span>&#160;    <span class="keywordtype">bool</span> bRepair = <span class="keyword">true</span></div>
<div class="line"><a name="l00629"></a><span class="lineno">  629</span>&#160;    );</div>
<div class="line"><a name="l00630"></a><span class="lineno">  630</span>&#160; </div>
<div class="line"><a name="l00631"></a><span class="lineno">  631</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00632"></a><span class="lineno">  632</span>&#160;  <span class="comment">//   virtual ON_Curve::Trim override.</span></div>
<div class="line"><a name="l00633"></a><span class="lineno">  633</span>&#160;  ON_BOOL32 Trim( <span class="keyword">const</span> <a class="code" href="class_o_n___interval.html">ON_Interval</a>&amp; );</div>
<div class="line"><a name="l00634"></a><span class="lineno">  634</span>&#160; </div>
<div class="line"><a name="l00635"></a><span class="lineno">  635</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00636"></a><span class="lineno">  636</span>&#160;  <span class="comment">//   Where possible, analytically extends curve to include domain.</span></div>
<div class="line"><a name="l00637"></a><span class="lineno">  637</span>&#160;  <span class="comment">// Parameters:</span></div>
<div class="line"><a name="l00638"></a><span class="lineno">  638</span>&#160;  <span class="comment">//   domain - [in] if domain is not included in curve domain, </span></div>
<div class="line"><a name="l00639"></a><span class="lineno">  639</span>&#160;  <span class="comment">//   curve will be extended so that its domain includes domain.  </span></div>
<div class="line"><a name="l00640"></a><span class="lineno">  640</span>&#160;  <span class="comment">//   Will not work if curve is closed. Original curve is identical</span></div>
<div class="line"><a name="l00641"></a><span class="lineno">  641</span>&#160;  <span class="comment">//   to the restriction of the resulting curve to the original curve domain, </span></div>
<div class="line"><a name="l00642"></a><span class="lineno">  642</span>&#160;  <span class="comment">// Returns:</span></div>
<div class="line"><a name="l00643"></a><span class="lineno">  643</span>&#160;  <span class="comment">//   true if successful.</span></div>
<div class="line"><a name="l00644"></a><span class="lineno">  644</span>&#160;  <span class="keywordtype">bool</span> Extend(</div>
<div class="line"><a name="l00645"></a><span class="lineno">  645</span>&#160;    <span class="keyword">const</span> <a class="code" href="class_o_n___interval.html">ON_Interval</a>&amp; domain</div>
<div class="line"><a name="l00646"></a><span class="lineno">  646</span>&#160;    );</div>
<div class="line"><a name="l00647"></a><span class="lineno">  647</span>&#160; </div>
<div class="line"><a name="l00648"></a><span class="lineno">  648</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00649"></a><span class="lineno">  649</span>&#160;  <span class="comment">//   virtual ON_Curve::Split override.</span></div>
<div class="line"><a name="l00650"></a><span class="lineno">  650</span>&#160;  <span class="comment">//</span></div>
<div class="line"><a name="l00651"></a><span class="lineno">  651</span>&#160;  <span class="comment">// Split() divides the curve at the specified parameter.  The parameter</span></div>
<div class="line"><a name="l00652"></a><span class="lineno">  652</span>&#160;  <span class="comment">// must be in the interior of the curve&#39;s domain.  The pointers passed</span></div>
<div class="line"><a name="l00653"></a><span class="lineno">  653</span>&#160;  <span class="comment">// to ON_NurbsCurve::Split must either be NULL or point to an ON_NurbsCurve.</span></div>
<div class="line"><a name="l00654"></a><span class="lineno">  654</span>&#160;  <span class="comment">// If the pointer is NULL, then a curve will be created</span></div>
<div class="line"><a name="l00655"></a><span class="lineno">  655</span>&#160;  <span class="comment">// in Split().  You may pass &quot;this&quot; as one of the pointers to Split().</span></div>
<div class="line"><a name="l00656"></a><span class="lineno">  656</span>&#160;  <span class="comment">// For example, </span></div>
<div class="line"><a name="l00657"></a><span class="lineno">  657</span>&#160;  <span class="comment">//</span></div>
<div class="line"><a name="l00658"></a><span class="lineno">  658</span>&#160;  <span class="comment">//   ON_NurbsCurve right_side;</span></div>
<div class="line"><a name="l00659"></a><span class="lineno">  659</span>&#160;  <span class="comment">//   crv.Split( crv.Domain().Mid() &amp;crv, &amp;right_side );</span></div>
<div class="line"><a name="l00660"></a><span class="lineno">  660</span>&#160;  <span class="comment">//</span></div>
<div class="line"><a name="l00661"></a><span class="lineno">  661</span>&#160;  <span class="comment">// would split crv at the parametric midpoint, put the left side in crv,</span></div>
<div class="line"><a name="l00662"></a><span class="lineno">  662</span>&#160;  <span class="comment">// and return the right side in right_side.</span></div>
<div class="line"><a name="l00663"></a><span class="lineno">  663</span>&#160;  ON_BOOL32 Split(</div>
<div class="line"><a name="l00664"></a><span class="lineno">  664</span>&#160;      <span class="keywordtype">double</span> split_param,    <span class="comment">// t = curve parameter to split curve at</span></div>
<div class="line"><a name="l00665"></a><span class="lineno">  665</span>&#160;      <a class="code" href="class_o_n___curve.html">ON_Curve</a>*&amp; left_result, <span class="comment">// left portion returned here (must be an ON_NurbsCurve)</span></div>
<div class="line"><a name="l00666"></a><span class="lineno">  666</span>&#160;      <a class="code" href="class_o_n___curve.html">ON_Curve</a>*&amp; right_result <span class="comment">// right portion returned here (must be an ON_NurbsCurve)</span></div>
<div class="line"><a name="l00667"></a><span class="lineno">  667</span>&#160;    ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00668"></a><span class="lineno">  668</span>&#160; </div>
<div class="line"><a name="l00669"></a><span class="lineno">  669</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00670"></a><span class="lineno">  670</span>&#160;  <span class="comment">//   virtual ON_Curve::GetNurbForm override.</span></div>
<div class="line"><a name="l00671"></a><span class="lineno">  671</span>&#160;  <span class="keywordtype">int</span> GetNurbForm( <span class="comment">// returns 0: unable to create NURBS representation</span></div>
<div class="line"><a name="l00672"></a><span class="lineno">  672</span>&#160;                   <span class="comment">//            with desired accuracy.</span></div>
<div class="line"><a name="l00673"></a><span class="lineno">  673</span>&#160;                   <span class="comment">//         1: success - returned NURBS parameterization</span></div>
<div class="line"><a name="l00674"></a><span class="lineno">  674</span>&#160;                   <span class="comment">//            matches the curve&#39;s to wthe desired accuracy</span></div>
<div class="line"><a name="l00675"></a><span class="lineno">  675</span>&#160;                   <span class="comment">//         2: success - returned NURBS point locus matches</span></div>
<div class="line"><a name="l00676"></a><span class="lineno">  676</span>&#160;                   <span class="comment">//            the curve&#39;s to the desired accuracy but, on</span></div>
<div class="line"><a name="l00677"></a><span class="lineno">  677</span>&#160;                   <span class="comment">//            the interior of the curve&#39;s domain, the </span></div>
<div class="line"><a name="l00678"></a><span class="lineno">  678</span>&#160;                   <span class="comment">//            curve&#39;s parameterization and the NURBS</span></div>
<div class="line"><a name="l00679"></a><span class="lineno">  679</span>&#160;                   <span class="comment">//            parameterization may not match to the </span></div>
<div class="line"><a name="l00680"></a><span class="lineno">  680</span>&#160;                   <span class="comment">//            desired accuracy.</span></div>
<div class="line"><a name="l00681"></a><span class="lineno">  681</span>&#160;        <a class="code" href="class_o_n___nurbs_curve.html">ON_NurbsCurve</a>&amp; nurbsform,</div>
<div class="line"><a name="l00682"></a><span class="lineno">  682</span>&#160;        <span class="keywordtype">double</span> tolerance = 0.0,</div>
<div class="line"><a name="l00683"></a><span class="lineno">  683</span>&#160;        <span class="keyword">const</span> <a class="code" href="class_o_n___interval.html">ON_Interval</a>* subdomain = NULL     <span class="comment">// OPTIONAL subdomain of curve</span></div>
<div class="line"><a name="l00684"></a><span class="lineno">  684</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00685"></a><span class="lineno">  685</span>&#160; </div>
<div class="line"><a name="l00686"></a><span class="lineno">  686</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00687"></a><span class="lineno">  687</span>&#160;  <span class="comment">//   virtual ON_Curve::HasNurbForm override.</span></div>
<div class="line"><a name="l00688"></a><span class="lineno">  688</span>&#160;  <span class="keywordtype">int</span> HasNurbForm( <span class="comment">// returns 0: unable to create NURBS representation</span></div>
<div class="line"><a name="l00689"></a><span class="lineno">  689</span>&#160;                   <span class="comment">//            with desired accuracy.</span></div>
<div class="line"><a name="l00690"></a><span class="lineno">  690</span>&#160;                   <span class="comment">//         1: success - returned NURBS parameterization</span></div>
<div class="line"><a name="l00691"></a><span class="lineno">  691</span>&#160;                   <span class="comment">//            matches the curve&#39;s to wthe desired accuracy</span></div>
<div class="line"><a name="l00692"></a><span class="lineno">  692</span>&#160;                   <span class="comment">//         2: success - returned NURBS point locus matches</span></div>
<div class="line"><a name="l00693"></a><span class="lineno">  693</span>&#160;                   <span class="comment">//            the curve&#39;s to the desired accuracy but, on</span></div>
<div class="line"><a name="l00694"></a><span class="lineno">  694</span>&#160;                   <span class="comment">//            the interior of the curve&#39;s domain, the </span></div>
<div class="line"><a name="l00695"></a><span class="lineno">  695</span>&#160;                   <span class="comment">//            curve&#39;s parameterization and the NURBS</span></div>
<div class="line"><a name="l00696"></a><span class="lineno">  696</span>&#160;                   <span class="comment">//            parameterization may not match to the </span></div>
<div class="line"><a name="l00697"></a><span class="lineno">  697</span>&#160;                   <span class="comment">//            desired accuracy.</span></div>
<div class="line"><a name="l00698"></a><span class="lineno">  698</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00699"></a><span class="lineno">  699</span>&#160; </div>
<div class="line"><a name="l00700"></a><span class="lineno">  700</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00701"></a><span class="lineno">  701</span>&#160;  <span class="comment">//   virtual ON_Curve::GetCurveParameterFromNurbFormParameter override</span></div>
<div class="line"><a name="l00702"></a><span class="lineno">  702</span>&#160;  ON_BOOL32 GetCurveParameterFromNurbFormParameter(</div>
<div class="line"><a name="l00703"></a><span class="lineno">  703</span>&#160;        <span class="keywordtype">double</span>  nurbs_t,</div>
<div class="line"><a name="l00704"></a><span class="lineno">  704</span>&#160;        <span class="keywordtype">double</span>* curve_t</div>
<div class="line"><a name="l00705"></a><span class="lineno">  705</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00706"></a><span class="lineno">  706</span>&#160; </div>
<div class="line"><a name="l00707"></a><span class="lineno">  707</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00708"></a><span class="lineno">  708</span>&#160;  <span class="comment">//   virtual ON_Curve::GetNurbFormParameterFromCurveParameter override</span></div>
<div class="line"><a name="l00709"></a><span class="lineno">  709</span>&#160;  ON_BOOL32 GetNurbFormParameterFromCurveParameter(</div>
<div class="line"><a name="l00710"></a><span class="lineno">  710</span>&#160;        <span class="keywordtype">double</span>  curve_t,</div>
<div class="line"><a name="l00711"></a><span class="lineno">  711</span>&#160;        <span class="keywordtype">double</span>* nurbs_t</div>
<div class="line"><a name="l00712"></a><span class="lineno">  712</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00713"></a><span class="lineno">  713</span>&#160; </div>
<div class="line"><a name="l00714"></a><span class="lineno">  714</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00715"></a><span class="lineno">  715</span>&#160; </div>
<div class="line"><a name="l00717"></a><span class="lineno">  717</span>&#160;  <span class="comment">// Interface</span></div>
<div class="line"><a name="l00718"></a><span class="lineno">  718</span>&#160; </div>
<div class="line"><a name="l00719"></a><span class="lineno">  719</span>&#160;  <span class="keywordtype">bool</span> IsRational(  <span class="comment">// true if NURBS curve is rational</span></div>
<div class="line"><a name="l00720"></a><span class="lineno">  720</span>&#160;        <span class="keywordtype">void</span></div>
<div class="line"><a name="l00721"></a><span class="lineno">  721</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00722"></a><span class="lineno">  722</span>&#160;  </div>
<div class="line"><a name="l00723"></a><span class="lineno">  723</span>&#160;  <span class="keywordtype">int</span> CVSize(       <span class="comment">// number of doubles per control vertex </span></div>
<div class="line"><a name="l00724"></a><span class="lineno">  724</span>&#160;        <span class="keywordtype">void</span>        <span class="comment">// = IsRational() ? Dim()+1 : Dim()</span></div>
<div class="line"><a name="l00725"></a><span class="lineno">  725</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00726"></a><span class="lineno">  726</span>&#160;  </div>
<div class="line"><a name="l00727"></a><span class="lineno">  727</span>&#160;  <span class="keywordtype">int</span> Order(        <span class="comment">// order = degree + 1</span></div>
<div class="line"><a name="l00728"></a><span class="lineno">  728</span>&#160;        <span class="keywordtype">void</span></div>
<div class="line"><a name="l00729"></a><span class="lineno">  729</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00730"></a><span class="lineno">  730</span>&#160;    </div>
<div class="line"><a name="l00731"></a><span class="lineno">  731</span>&#160;  <span class="keywordtype">int</span> CVCount(      <span class="comment">// number of control vertices</span></div>
<div class="line"><a name="l00732"></a><span class="lineno">  732</span>&#160;        <span class="keywordtype">void</span> </div>
<div class="line"><a name="l00733"></a><span class="lineno">  733</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00734"></a><span class="lineno">  734</span>&#160; </div>
<div class="line"><a name="l00735"></a><span class="lineno">  735</span>&#160;  <span class="keywordtype">int</span> KnotCount(    <span class="comment">// total number of knots in knot vector</span></div>
<div class="line"><a name="l00736"></a><span class="lineno">  736</span>&#160;        <span class="keywordtype">void</span></div>
<div class="line"><a name="l00737"></a><span class="lineno">  737</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00738"></a><span class="lineno">  738</span>&#160;  </div>
<div class="line"><a name="l00739"></a><span class="lineno">  739</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00740"></a><span class="lineno">  740</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00741"></a><span class="lineno">  741</span>&#160;<span class="comment">    Expert user function to get a pointer to control vertex</span></div>
<div class="line"><a name="l00742"></a><span class="lineno">  742</span>&#160;<span class="comment">    memory.  If you are not an expert user, please use</span></div>
<div class="line"><a name="l00743"></a><span class="lineno">  743</span>&#160;<span class="comment">    ON_NurbsCurve::GetCV( ON_3dPoint&amp; ) or </span></div>
<div class="line"><a name="l00744"></a><span class="lineno">  744</span>&#160;<span class="comment">    ON_NurbsCurve::GetCV( ON_4dPoint&amp; ).</span></div>
<div class="line"><a name="l00745"></a><span class="lineno">  745</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l00746"></a><span class="lineno">  746</span>&#160;<span class="comment">    cv_index - [in]</span></div>
<div class="line"><a name="l00747"></a><span class="lineno">  747</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l00748"></a><span class="lineno">  748</span>&#160;<span class="comment">    Pointer to control vertex.</span></div>
<div class="line"><a name="l00749"></a><span class="lineno">  749</span>&#160;<span class="comment">  Remarks:</span></div>
<div class="line"><a name="l00750"></a><span class="lineno">  750</span>&#160;<span class="comment">    If the NURBS curve is rational, the format of the </span></div>
<div class="line"><a name="l00751"></a><span class="lineno">  751</span>&#160;<span class="comment">    returned array is a homogeneos rational point with</span></div>
<div class="line"><a name="l00752"></a><span class="lineno">  752</span>&#160;<span class="comment">    length m_dim+1.  If the NURBS curve is not rational, </span></div>
<div class="line"><a name="l00753"></a><span class="lineno">  753</span>&#160;<span class="comment">    the format of the returned array is a nonrational </span></div>
<div class="line"><a name="l00754"></a><span class="lineno">  754</span>&#160;<span class="comment">    euclidean point with length m_dim.</span></div>
<div class="line"><a name="l00755"></a><span class="lineno">  755</span>&#160;<span class="comment">  See Also</span></div>
<div class="line"><a name="l00756"></a><span class="lineno">  756</span>&#160;<span class="comment">    ON_NurbsCurve::CVStyle</span></div>
<div class="line"><a name="l00757"></a><span class="lineno">  757</span>&#160;<span class="comment">    ON_NurbsCurve::GetCV</span></div>
<div class="line"><a name="l00758"></a><span class="lineno">  758</span>&#160;<span class="comment">    ON_NurbsCurve::Weight</span></div>
<div class="line"><a name="l00759"></a><span class="lineno">  759</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00760"></a><span class="lineno">  760</span>&#160;  <span class="keywordtype">double</span>* CV(</div>
<div class="line"><a name="l00761"></a><span class="lineno">  761</span>&#160;        <span class="keywordtype">int</span> cv_index</div>
<div class="line"><a name="l00762"></a><span class="lineno">  762</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00763"></a><span class="lineno">  763</span>&#160; </div>
<div class="line"><a name="l00764"></a><span class="lineno">  764</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00765"></a><span class="lineno">  765</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l00766"></a><span class="lineno">  766</span>&#160;<span class="comment">    Returns the style of control vertices in the m_cv array.</span></div>
<div class="line"><a name="l00767"></a><span class="lineno">  767</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l00768"></a><span class="lineno">  768</span>&#160;<span class="comment">    @untitled table</span></div>
<div class="line"><a name="l00769"></a><span class="lineno">  769</span>&#160;<span class="comment">    ON::not_rational                m_is_rat is false</span></div>
<div class="line"><a name="l00770"></a><span class="lineno">  770</span>&#160;<span class="comment">    ON::homogeneous_rational        m_is_rat is true</span></div>
<div class="line"><a name="l00771"></a><span class="lineno">  771</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00772"></a><span class="lineno">  772</span>&#160;  ON::point_style CVStyle() <span class="keyword">const</span>;</div>
<div class="line"><a name="l00773"></a><span class="lineno">  773</span>&#160; </div>
<div class="line"><a name="l00774"></a><span class="lineno">  774</span>&#160; </div>
<div class="line"><a name="l00775"></a><span class="lineno">  775</span>&#160;  <span class="keywordtype">double</span> Weight(        <span class="comment">// get value of control vertex weight</span></div>
<div class="line"><a name="l00776"></a><span class="lineno">  776</span>&#160;        <span class="keywordtype">int</span>             <span class="comment">// CV index ( &gt;= 0 and &lt; CVCount() )</span></div>
<div class="line"><a name="l00777"></a><span class="lineno">  777</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00778"></a><span class="lineno">  778</span>&#160; </div>
<div class="line"><a name="l00779"></a><span class="lineno">  779</span>&#160;  ON_BOOL32 SetWeight(      <span class="comment">// get value of control vertex weight</span></div>
<div class="line"><a name="l00780"></a><span class="lineno">  780</span>&#160;        <span class="keywordtype">int</span>,            <span class="comment">// CV index ( &gt;= 0 and &lt; CVCount() )</span></div>
<div class="line"><a name="l00781"></a><span class="lineno">  781</span>&#160;        <span class="keywordtype">double</span></div>
<div class="line"><a name="l00782"></a><span class="lineno">  782</span>&#160;        );</div>
<div class="line"><a name="l00783"></a><span class="lineno">  783</span>&#160; </div>
<div class="line"><a name="l00784"></a><span class="lineno">  784</span>&#160;  ON_BOOL32 SetCV(              <span class="comment">// set a single control vertex</span></div>
<div class="line"><a name="l00785"></a><span class="lineno">  785</span>&#160;        <span class="keywordtype">int</span>,              <span class="comment">// CV index ( &gt;= 0 and &lt; CVCount() )</span></div>
<div class="line"><a name="l00786"></a><span class="lineno">  786</span>&#160;        ON::point_style, <span class="comment">// style of input point</span></div>
<div class="line"><a name="l00787"></a><span class="lineno">  787</span>&#160;        <span class="keyword">const</span> <span class="keywordtype">double</span>*     <span class="comment">// value of control vertex</span></div>
<div class="line"><a name="l00788"></a><span class="lineno">  788</span>&#160;        );</div>
<div class="line"><a name="l00789"></a><span class="lineno">  789</span>&#160; </div>
<div class="line"><a name="l00790"></a><span class="lineno">  790</span>&#160;  ON_BOOL32 SetCV(               <span class="comment">// set a single control vertex</span></div>
<div class="line"><a name="l00791"></a><span class="lineno">  791</span>&#160;        <span class="keywordtype">int</span>,               <span class="comment">// CV index ( &gt;= 0 and &lt; CVCount() )</span></div>
<div class="line"><a name="l00792"></a><span class="lineno">  792</span>&#160;        <span class="keyword">const</span> <a class="code" href="class_o_n__3d_point.html">ON_3dPoint</a>&amp; <span class="comment">// value of control vertex</span></div>
<div class="line"><a name="l00793"></a><span class="lineno">  793</span>&#160;                           <span class="comment">// If NURBS is rational, weight</span></div>
<div class="line"><a name="l00794"></a><span class="lineno">  794</span>&#160;                           <span class="comment">// will be set to 1.</span></div>
<div class="line"><a name="l00795"></a><span class="lineno">  795</span>&#160;        );</div>
<div class="line"><a name="l00796"></a><span class="lineno">  796</span>&#160; </div>
<div class="line"><a name="l00797"></a><span class="lineno">  797</span>&#160;  ON_BOOL32 SetCV(              <span class="comment">// set a single control vertex</span></div>
<div class="line"><a name="l00798"></a><span class="lineno">  798</span>&#160;        <span class="keywordtype">int</span>,              <span class="comment">// CV index ( &gt;= 0 and &lt; CVCount() )</span></div>
<div class="line"><a name="l00799"></a><span class="lineno">  799</span>&#160;        <span class="keyword">const</span> <a class="code" href="class_o_n__4d_point.html">ON_4dPoint</a>&amp; <span class="comment">// value of control vertex</span></div>
<div class="line"><a name="l00800"></a><span class="lineno">  800</span>&#160;                          <span class="comment">// If NURBS is not rational, euclidean</span></div>
<div class="line"><a name="l00801"></a><span class="lineno">  801</span>&#160;                          <span class="comment">// location of homogeneous point will</span></div>
<div class="line"><a name="l00802"></a><span class="lineno">  802</span>&#160;                          <span class="comment">// be used.</span></div>
<div class="line"><a name="l00803"></a><span class="lineno">  803</span>&#160;        );</div>
<div class="line"><a name="l00804"></a><span class="lineno">  804</span>&#160; </div>
<div class="line"><a name="l00805"></a><span class="lineno">  805</span>&#160;  ON_BOOL32 GetCV(              <span class="comment">// get a single control vertex</span></div>
<div class="line"><a name="l00806"></a><span class="lineno">  806</span>&#160;        <span class="keywordtype">int</span>,              <span class="comment">// CV index ( &gt;= 0 and &lt; CVCount() )</span></div>
<div class="line"><a name="l00807"></a><span class="lineno">  807</span>&#160;        ON::point_style, <span class="comment">// style to use for output point</span></div>
<div class="line"><a name="l00808"></a><span class="lineno">  808</span>&#160;        <span class="keywordtype">double</span>*           <span class="comment">// array of length &gt;= CVSize()</span></div>
<div class="line"><a name="l00809"></a><span class="lineno">  809</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00810"></a><span class="lineno">  810</span>&#160; </div>
<div class="line"><a name="l00811"></a><span class="lineno">  811</span>&#160;  ON_BOOL32 GetCV(              <span class="comment">// get a single control vertex</span></div>
<div class="line"><a name="l00812"></a><span class="lineno">  812</span>&#160;        <span class="keywordtype">int</span>,              <span class="comment">// CV index ( &gt;= 0 and &lt; CVCount() )</span></div>
<div class="line"><a name="l00813"></a><span class="lineno">  813</span>&#160;        <a class="code" href="class_o_n__3d_point.html">ON_3dPoint</a>&amp;      <span class="comment">// gets euclidean cv when NURBS is rational</span></div>
<div class="line"><a name="l00814"></a><span class="lineno">  814</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00815"></a><span class="lineno">  815</span>&#160; </div>
<div class="line"><a name="l00816"></a><span class="lineno">  816</span>&#160;  ON_BOOL32 GetCV(              <span class="comment">// get a single control vertex</span></div>
<div class="line"><a name="l00817"></a><span class="lineno">  817</span>&#160;        <span class="keywordtype">int</span>,              <span class="comment">// CV index ( &gt;= 0 and &lt; CVCount() )</span></div>
<div class="line"><a name="l00818"></a><span class="lineno">  818</span>&#160;        <a class="code" href="class_o_n__4d_point.html">ON_4dPoint</a>&amp;      <span class="comment">// gets homogeneous cv</span></div>
<div class="line"><a name="l00819"></a><span class="lineno">  819</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00820"></a><span class="lineno">  820</span>&#160; </div>
<div class="line"><a name="l00821"></a><span class="lineno">  821</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00822"></a><span class="lineno">  822</span>&#160;  <span class="comment">//   Set knot value.</span></div>
<div class="line"><a name="l00823"></a><span class="lineno">  823</span>&#160;  <span class="comment">// Parameters:</span></div>
<div class="line"><a name="l00824"></a><span class="lineno">  824</span>&#160;  <span class="comment">//   knot_index - [in] 0 &lt;= knot_index &lt;= KnotCount()-1</span></div>
<div class="line"><a name="l00825"></a><span class="lineno">  825</span>&#160;  <span class="comment">//   knot_value - [in]</span></div>
<div class="line"><a name="l00826"></a><span class="lineno">  826</span>&#160;  <span class="comment">// Remarks:</span></div>
<div class="line"><a name="l00827"></a><span class="lineno">  827</span>&#160;  <span class="comment">//   m_knot[] must exist.  Use ReserveKnotCapacity to</span></div>
<div class="line"><a name="l00828"></a><span class="lineno">  828</span>&#160;  <span class="comment">//   allocate m_knot[].</span></div>
<div class="line"><a name="l00829"></a><span class="lineno">  829</span>&#160;  <span class="comment">// Returns:</span></div>
<div class="line"><a name="l00830"></a><span class="lineno">  830</span>&#160;  <span class="comment">//   true if successful</span></div>
<div class="line"><a name="l00831"></a><span class="lineno">  831</span>&#160;  <span class="comment">// See Also:</span></div>
<div class="line"><a name="l00832"></a><span class="lineno">  832</span>&#160;  <span class="comment">//   ON_NurbsCurve::ReserveKnotCapacity</span></div>
<div class="line"><a name="l00833"></a><span class="lineno">  833</span>&#160;  <span class="keywordtype">bool</span> SetKnot(</div>
<div class="line"><a name="l00834"></a><span class="lineno">  834</span>&#160;        <span class="keywordtype">int</span> knot_index,</div>
<div class="line"><a name="l00835"></a><span class="lineno">  835</span>&#160;        <span class="keywordtype">double</span> knot_value</div>
<div class="line"><a name="l00836"></a><span class="lineno">  836</span>&#160;        );</div>
<div class="line"><a name="l00837"></a><span class="lineno">  837</span>&#160; </div>
<div class="line"><a name="l00838"></a><span class="lineno">  838</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00839"></a><span class="lineno">  839</span>&#160;  <span class="comment">//   Get knot value.</span></div>
<div class="line"><a name="l00840"></a><span class="lineno">  840</span>&#160;  <span class="comment">// Parameters:</span></div>
<div class="line"><a name="l00841"></a><span class="lineno">  841</span>&#160;  <span class="comment">//   knot_index - [in] 0 &lt;= knot_index &lt;= KnotCount()-1</span></div>
<div class="line"><a name="l00842"></a><span class="lineno">  842</span>&#160;  <span class="comment">// Returns:</span></div>
<div class="line"><a name="l00843"></a><span class="lineno">  843</span>&#160;  <span class="comment">//   knot value = m_knot[knot_index]</span></div>
<div class="line"><a name="l00844"></a><span class="lineno">  844</span>&#160;  <span class="comment">// See Also:</span></div>
<div class="line"><a name="l00845"></a><span class="lineno">  845</span>&#160;  <span class="comment">//   ON_NurbsCurve::SetKnot, ON_NurbsCurve::KnotMultiplicity</span></div>
<div class="line"><a name="l00846"></a><span class="lineno">  846</span>&#160;  <span class="keywordtype">double</span> Knot(</div>
<div class="line"><a name="l00847"></a><span class="lineno">  847</span>&#160;        <span class="keywordtype">int</span> knot_index</div>
<div class="line"><a name="l00848"></a><span class="lineno">  848</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00849"></a><span class="lineno">  849</span>&#160; </div>
<div class="line"><a name="l00850"></a><span class="lineno">  850</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00851"></a><span class="lineno">  851</span>&#160;  <span class="comment">//   Get knot multiplicity.</span></div>
<div class="line"><a name="l00852"></a><span class="lineno">  852</span>&#160;  <span class="comment">// Parameters:</span></div>
<div class="line"><a name="l00853"></a><span class="lineno">  853</span>&#160;  <span class="comment">//   knot_index - [in] 0 &lt;= knot_index &lt;= KnotCount()-1</span></div>
<div class="line"><a name="l00854"></a><span class="lineno">  854</span>&#160;  <span class="comment">// Returns:</span></div>
<div class="line"><a name="l00855"></a><span class="lineno">  855</span>&#160;  <span class="comment">//   knot multiplicity = m_knot[knot_index]</span></div>
<div class="line"><a name="l00856"></a><span class="lineno">  856</span>&#160;  <span class="comment">// See Also:</span></div>
<div class="line"><a name="l00857"></a><span class="lineno">  857</span>&#160;  <span class="comment">//   ON_NurbsCurve::SetKnot, ON_NurbsCurve::Knot, </span></div>
<div class="line"><a name="l00858"></a><span class="lineno">  858</span>&#160;  <span class="comment">//   ON_NurbsCurve::InsertKnot</span></div>
<div class="line"><a name="l00859"></a><span class="lineno">  859</span>&#160;  <span class="keywordtype">int</span> KnotMultiplicity(</div>
<div class="line"><a name="l00860"></a><span class="lineno">  860</span>&#160;        <span class="keywordtype">int</span> knot_index</div>
<div class="line"><a name="l00861"></a><span class="lineno">  861</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00862"></a><span class="lineno">  862</span>&#160; </div>
<div class="line"><a name="l00863"></a><span class="lineno">  863</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00864"></a><span class="lineno">  864</span>&#160;  <span class="comment">//   Get pointer to knot vector array.</span></div>
<div class="line"><a name="l00865"></a><span class="lineno">  865</span>&#160;  <span class="comment">// Returns:</span></div>
<div class="line"><a name="l00866"></a><span class="lineno">  866</span>&#160;  <span class="comment">//   pointer to knot vector array (m_knot).</span></div>
<div class="line"><a name="l00867"></a><span class="lineno">  867</span>&#160;  <span class="comment">// See Also:</span></div>
<div class="line"><a name="l00868"></a><span class="lineno">  868</span>&#160;  <span class="comment">//   ON_NurbsCurve::SetKnot, ON_NurbsCurve::Knot, </span></div>
<div class="line"><a name="l00869"></a><span class="lineno">  869</span>&#160;  <span class="comment">//   ON_NurbsCurve::InsertKnot</span></div>
<div class="line"><a name="l00870"></a><span class="lineno">  870</span>&#160;  <span class="keyword">const</span> <span class="keywordtype">double</span>* Knot() <span class="keyword">const</span>;</div>
<div class="line"><a name="l00871"></a><span class="lineno">  871</span>&#160; </div>
<div class="line"><a name="l00872"></a><span class="lineno">  872</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00873"></a><span class="lineno">  873</span>&#160;  <span class="comment">//   Make knot vector a clamped uniform knot vector</span></div>
<div class="line"><a name="l00874"></a><span class="lineno">  874</span>&#160;  <span class="comment">//   based on the current values of m_order and m_cv_count.</span></div>
<div class="line"><a name="l00875"></a><span class="lineno">  875</span>&#160;  <span class="comment">//   Does not change values of control vertices.</span></div>
<div class="line"><a name="l00876"></a><span class="lineno">  876</span>&#160;  <span class="comment">// Parameters:</span></div>
<div class="line"><a name="l00877"></a><span class="lineno">  877</span>&#160;  <span class="comment">//   delta - [in] (&gt;0.0) knot spacing.</span></div>
<div class="line"><a name="l00878"></a><span class="lineno">  878</span>&#160;  <span class="comment">// Returns:</span></div>
<div class="line"><a name="l00879"></a><span class="lineno">  879</span>&#160;  <span class="comment">//   true if successful.</span></div>
<div class="line"><a name="l00880"></a><span class="lineno">  880</span>&#160;  <span class="comment">// Remarks:</span></div>
<div class="line"><a name="l00881"></a><span class="lineno">  881</span>&#160;  <span class="comment">//   Allocates m_knot[] if it is not big enough.</span></div>
<div class="line"><a name="l00882"></a><span class="lineno">  882</span>&#160;  <span class="comment">// See Also:</span></div>
<div class="line"><a name="l00883"></a><span class="lineno">  883</span>&#160;  <span class="comment">//   ON_MakeClampedUniformKnotVector</span></div>
<div class="line"><a name="l00884"></a><span class="lineno">  884</span>&#160;  <span class="keywordtype">bool</span> MakeClampedUniformKnotVector( </div>
<div class="line"><a name="l00885"></a><span class="lineno">  885</span>&#160;    <span class="keywordtype">double</span> delta = 1.0 </div>
<div class="line"><a name="l00886"></a><span class="lineno">  886</span>&#160;    );</div>
<div class="line"><a name="l00887"></a><span class="lineno">  887</span>&#160; </div>
<div class="line"><a name="l00888"></a><span class="lineno">  888</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00889"></a><span class="lineno">  889</span>&#160;  <span class="comment">//   Make knot vector a periodic uniform knot vector</span></div>
<div class="line"><a name="l00890"></a><span class="lineno">  890</span>&#160;  <span class="comment">//   based on the current values of m_order and m_cv_count.</span></div>
<div class="line"><a name="l00891"></a><span class="lineno">  891</span>&#160;  <span class="comment">//   Does not change values of control vertices.</span></div>
<div class="line"><a name="l00892"></a><span class="lineno">  892</span>&#160;  <span class="comment">// Parameters:</span></div>
<div class="line"><a name="l00893"></a><span class="lineno">  893</span>&#160;  <span class="comment">//   delta - [in] (&gt;0.0) knot spacing.</span></div>
<div class="line"><a name="l00894"></a><span class="lineno">  894</span>&#160;  <span class="comment">// Returns:</span></div>
<div class="line"><a name="l00895"></a><span class="lineno">  895</span>&#160;  <span class="comment">//   true if successful.</span></div>
<div class="line"><a name="l00896"></a><span class="lineno">  896</span>&#160;  <span class="comment">// Remarks:</span></div>
<div class="line"><a name="l00897"></a><span class="lineno">  897</span>&#160;  <span class="comment">//   Allocates m_knot[] if it is not big enough.</span></div>
<div class="line"><a name="l00898"></a><span class="lineno">  898</span>&#160;  <span class="comment">// See Also:</span></div>
<div class="line"><a name="l00899"></a><span class="lineno">  899</span>&#160;  <span class="comment">//   ON_MakePeriodicUniformKnotVector</span></div>
<div class="line"><a name="l00900"></a><span class="lineno">  900</span>&#160;  <span class="keywordtype">bool</span> MakePeriodicUniformKnotVector( </div>
<div class="line"><a name="l00901"></a><span class="lineno">  901</span>&#160;    <span class="keywordtype">double</span> delta = 1.0 </div>
<div class="line"><a name="l00902"></a><span class="lineno">  902</span>&#160;    );</div>
<div class="line"><a name="l00903"></a><span class="lineno">  903</span>&#160; </div>
<div class="line"><a name="l00904"></a><span class="lineno">  904</span>&#160;  <span class="keywordtype">bool</span> IsClamped( <span class="comment">// determine if knot vector is clamped</span></div>
<div class="line"><a name="l00905"></a><span class="lineno">  905</span>&#160;        <span class="keywordtype">int</span> = 2 <span class="comment">// end to check: 0 = start, 1 = end, 2 = start and end</span></div>
<div class="line"><a name="l00906"></a><span class="lineno">  906</span>&#160;        ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00907"></a><span class="lineno">  907</span>&#160;  </div>
<div class="line"><a name="l00908"></a><span class="lineno">  908</span>&#160;  <span class="keywordtype">double</span> SuperfluousKnot(</div>
<div class="line"><a name="l00909"></a><span class="lineno">  909</span>&#160;           <span class="keywordtype">int</span> <span class="comment">// 0 = start, 1 = end</span></div>
<div class="line"><a name="l00910"></a><span class="lineno">  910</span>&#160;           ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00911"></a><span class="lineno">  911</span>&#160; </div>
<div class="line"><a name="l00912"></a><span class="lineno">  912</span>&#160;  <span class="keywordtype">double</span> GrevilleAbcissa(</div>
<div class="line"><a name="l00913"></a><span class="lineno">  913</span>&#160;           <span class="keywordtype">int</span>   <span class="comment">// index (0 &lt;= index &lt; CVCount(dir)</span></div>
<div class="line"><a name="l00914"></a><span class="lineno">  914</span>&#160;           ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00915"></a><span class="lineno">  915</span>&#160; </div>
<div class="line"><a name="l00916"></a><span class="lineno">  916</span>&#160;  <span class="keywordtype">bool</span> GetGrevilleAbcissae( <span class="comment">// see ON_GetGrevilleAbcissae() for details</span></div>
<div class="line"><a name="l00917"></a><span class="lineno">  917</span>&#160;           <span class="keywordtype">double</span>*   <span class="comment">// g[cv_count]</span></div>
<div class="line"><a name="l00918"></a><span class="lineno">  918</span>&#160;           ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00919"></a><span class="lineno">  919</span>&#160; </div>
<div class="line"><a name="l00920"></a><span class="lineno">  920</span>&#160;  <span class="keywordtype">bool</span> ZeroCVs(); <span class="comment">// zeros control vertices and, if rational, sets weights to 1</span></div>
<div class="line"><a name="l00921"></a><span class="lineno">  921</span>&#160; </div>
<div class="line"><a name="l00922"></a><span class="lineno">  922</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00923"></a><span class="lineno">  923</span>&#160;  <span class="comment">//   Clamp end knots.  Does not modify control points.</span></div>
<div class="line"><a name="l00924"></a><span class="lineno">  924</span>&#160;  <span class="comment">// Parameters:</span></div>
<div class="line"><a name="l00925"></a><span class="lineno">  925</span>&#160;  <span class="comment">//   end - [in] 0 = clamp start, 1 = clamp end, 2 = clamp start and end</span></div>
<div class="line"><a name="l00926"></a><span class="lineno">  926</span>&#160;  <span class="comment">// Returns:</span></div>
<div class="line"><a name="l00927"></a><span class="lineno">  927</span>&#160;  <span class="comment">//   true if successful</span></div>
<div class="line"><a name="l00928"></a><span class="lineno">  928</span>&#160;  <span class="keywordtype">bool</span> ClampEnd(</div>
<div class="line"><a name="l00929"></a><span class="lineno">  929</span>&#160;            <span class="keywordtype">int</span> end</div>
<div class="line"><a name="l00930"></a><span class="lineno">  930</span>&#160;            );</div>
<div class="line"><a name="l00931"></a><span class="lineno">  931</span>&#160; </div>
<div class="line"><a name="l00932"></a><span class="lineno">  932</span>&#160;  <span class="comment">// Description:</span></div>
<div class="line"><a name="l00933"></a><span class="lineno">  933</span>&#160;  <span class="comment">//   Insert a knot and update cv locations.</span></div>
<div class="line"><a name="l00934"></a><span class="lineno">  934</span>&#160;  <span class="comment">// Parameters:</span></div>
<div class="line"><a name="l00935"></a><span class="lineno">  935</span>&#160;  <span class="comment">//   knot_value - [in] m_knot[order-2] &lt; knot_value &lt; m_knot[m_cv_count-1]</span></div>
<div class="line"><a name="l00936"></a><span class="lineno">  936</span>&#160;  <span class="comment">//   knot_multiplicity - [in] 1 to degree - includes multiplicity of existing knots.</span></div>
<div class="line"><a name="l00937"></a><span class="lineno">  937</span>&#160;  <span class="comment">// Remarks:</span></div>
<div class="line"><a name="l00938"></a><span class="lineno">  938</span>&#160;  <span class="comment">//   Does not change parameterization or locus of curve.</span></div>
<div class="line"><a name="l00939"></a><span class="lineno">  939</span>&#160;  <span class="comment">// Returns:</span></div>
<div class="line"><a name="l00940"></a><span class="lineno">  940</span>&#160;  <span class="comment">//   true if successful</span></div>
<div class="line"><a name="l00941"></a><span class="lineno">  941</span>&#160;  <span class="keywordtype">bool</span> InsertKnot( </div>
<div class="line"><a name="l00942"></a><span class="lineno">  942</span>&#160;            <span class="keywordtype">double</span> knot_value,</div>
<div class="line"><a name="l00943"></a><span class="lineno">  943</span>&#160;            <span class="keywordtype">int</span> knot_multiplicity</div>
<div class="line"><a name="l00944"></a><span class="lineno">  944</span>&#160;            );</div>
<div class="line"><a name="l00945"></a><span class="lineno">  945</span>&#160; </div>
<div class="line"><a name="l00946"></a><span class="lineno">  946</span>&#160;  <span class="keywordtype">bool</span> MakeRational();</div>
<div class="line"><a name="l00947"></a><span class="lineno">  947</span>&#160; </div>
<div class="line"><a name="l00948"></a><span class="lineno">  948</span>&#160;  <span class="keywordtype">bool</span> MakeNonRational();</div>
<div class="line"><a name="l00949"></a><span class="lineno">  949</span>&#160; </div>
<div class="line"><a name="l00950"></a><span class="lineno">  950</span>&#160;  <span class="keywordtype">bool</span> IncreaseDegree(</div>
<div class="line"><a name="l00951"></a><span class="lineno">  951</span>&#160;          <span class="keywordtype">int</span> desired_degree</div>
<div class="line"><a name="l00952"></a><span class="lineno">  952</span>&#160;          );</div>
<div class="line"><a name="l00953"></a><span class="lineno">  953</span>&#160; </div>
<div class="line"><a name="l00954"></a><span class="lineno">  954</span>&#160;  <span class="keywordtype">bool</span> ChangeDimension(</div>
<div class="line"><a name="l00955"></a><span class="lineno">  955</span>&#160;          <span class="keywordtype">int</span> desired_dimension</div>
<div class="line"><a name="l00956"></a><span class="lineno">  956</span>&#160;          );</div>
<div class="line"><a name="l00957"></a><span class="lineno">  957</span>&#160; </div>
<div class="line"><a name="l00958"></a><span class="lineno">  958</span>&#160;  <span class="keywordtype">bool</span> Append( <span class="keyword">const</span> <a class="code" href="class_o_n___nurbs_curve.html">ON_NurbsCurve</a>&amp; );</div>
<div class="line"><a name="l00959"></a><span class="lineno">  959</span>&#160; </div>
<div class="line"><a name="l00961"></a><span class="lineno">  961</span>&#160;  <span class="comment">// Tools for managing CV and knot memory</span></div>
<div class="line"><a name="l00962"></a><span class="lineno">  962</span>&#160;  <span class="keywordtype">bool</span> ReserveCVCapacity(</div>
<div class="line"><a name="l00963"></a><span class="lineno">  963</span>&#160;    <span class="keywordtype">int</span> <span class="comment">// number of doubles to reserve</span></div>
<div class="line"><a name="l00964"></a><span class="lineno">  964</span>&#160;    );</div>
<div class="line"><a name="l00965"></a><span class="lineno">  965</span>&#160;  <span class="keywordtype">bool</span> ReserveKnotCapacity(</div>
<div class="line"><a name="l00966"></a><span class="lineno">  966</span>&#160;    <span class="keywordtype">int</span> <span class="comment">// number of doubles to reserve</span></div>
<div class="line"><a name="l00967"></a><span class="lineno">  967</span>&#160;    );</div>
<div class="line"><a name="l00968"></a><span class="lineno">  968</span>&#160; </div>
<div class="line"><a name="l00970"></a><span class="lineno">  970</span>&#160;  <span class="comment">// returns the length of the control polygon</span></div>
<div class="line"><a name="l00971"></a><span class="lineno">  971</span>&#160;  <span class="keywordtype">double</span> ControlPolygonLength() <span class="keyword">const</span>;</div>
<div class="line"><a name="l00972"></a><span class="lineno">  972</span>&#160; </div>
<div class="line"><a name="l00974"></a><span class="lineno">  974</span>&#160;  <span class="comment">// Converts a span of the NURBS curve into a bezier.  If</span></div>
<div class="line"><a name="l00975"></a><span class="lineno">  975</span>&#160;  <span class="comment">// the span is empty </span></div>
<div class="line"><a name="l00976"></a><span class="lineno">  976</span>&#160;  <span class="comment">// (m_knot[span_index+m_order-2] == m_knot[span_index+m_order-1]),</span></div>
<div class="line"><a name="l00977"></a><span class="lineno">  977</span>&#160;  <span class="comment">// then false is returned.</span></div>
<div class="line"><a name="l00978"></a><span class="lineno">  978</span>&#160;  <span class="keywordtype">bool</span> ConvertSpanToBezier(</div>
<div class="line"><a name="l00979"></a><span class="lineno">  979</span>&#160;      <span class="keywordtype">int</span>,            <span class="comment">// span_index (0 &lt;= span_index &lt;= m_cv_count-m_order)</span></div>
<div class="line"><a name="l00980"></a><span class="lineno">  980</span>&#160;      <a class="code" href="class_o_n___bezier_curve.html">ON_BezierCurve</a>&amp; <span class="comment">// bezier returned here</span></div>
<div class="line"><a name="l00981"></a><span class="lineno">  981</span>&#160;      ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00982"></a><span class="lineno">  982</span>&#160; </div>
<div class="line"><a name="l00983"></a><span class="lineno">  983</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l00984"></a><span class="lineno">  984</span>&#160;<span class="comment">  Paramaters:</span></div>
<div class="line"><a name="l00985"></a><span class="lineno">  985</span>&#160;<span class="comment">    span_index - [in]</span></div>
<div class="line"><a name="l00986"></a><span class="lineno">  986</span>&#160;<span class="comment">      The index of a non-empty span to test.</span></div>
<div class="line"><a name="l00987"></a><span class="lineno">  987</span>&#160;<span class="comment">        span_index &gt;= 0</span></div>
<div class="line"><a name="l00988"></a><span class="lineno">  988</span>&#160;<span class="comment">        span_index &lt;= m_cv_count-m_order</span></div>
<div class="line"><a name="l00989"></a><span class="lineno">  989</span>&#160;<span class="comment">        m_knot[span_index+m_order-2] &lt; m_knot[span_index+m_order-1]</span></div>
<div class="line"><a name="l00990"></a><span class="lineno">  990</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l00991"></a><span class="lineno">  991</span>&#160;<span class="comment">    true if the span_index parameter is valid and the span is singular</span></div>
<div class="line"><a name="l00992"></a><span class="lineno">  992</span>&#160;<span class="comment">    (collapsed to a point).</span></div>
<div class="line"><a name="l00993"></a><span class="lineno">  993</span>&#160;<span class="comment">    false if the span is not singular or span_index does not identify</span></div>
<div class="line"><a name="l00994"></a><span class="lineno">  994</span>&#160;<span class="comment">    a non-empty span.</span></div>
<div class="line"><a name="l00995"></a><span class="lineno">  995</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l00996"></a><span class="lineno">  996</span>&#160;  <span class="keywordtype">bool</span> SpanIsSingular( </div>
<div class="line"><a name="l00997"></a><span class="lineno">  997</span>&#160;    <span class="keywordtype">int</span> span_index </div>
<div class="line"><a name="l00998"></a><span class="lineno">  998</span>&#160;    ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00999"></a><span class="lineno">  999</span>&#160; </div>
<div class="line"><a name="l01000"></a><span class="lineno"> 1000</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l01001"></a><span class="lineno"> 1001</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l01002"></a><span class="lineno"> 1002</span>&#160;<span class="comment">    True if every span in the NURBS curve is singular.</span></div>
<div class="line"><a name="l01003"></a><span class="lineno"> 1003</span>&#160;<span class="comment">  See Also:</span></div>
<div class="line"><a name="l01004"></a><span class="lineno"> 1004</span>&#160;<span class="comment">    ON_NurbsCurve::RepairBadKnots()</span></div>
<div class="line"><a name="l01005"></a><span class="lineno"> 1005</span>&#160;<span class="comment">    ON_NurbsCurve::RemoveShortSegments()</span></div>
<div class="line"><a name="l01006"></a><span class="lineno"> 1006</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l01007"></a><span class="lineno"> 1007</span>&#160;  <span class="keywordtype">bool</span> IsSingular() <span class="keyword">const</span>;</div>
<div class="line"><a name="l01008"></a><span class="lineno"> 1008</span>&#160; </div>
<div class="line"><a name="l01009"></a><span class="lineno"> 1009</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l01010"></a><span class="lineno"> 1010</span>&#160;<span class="comment">  Paramaters:</span></div>
<div class="line"><a name="l01011"></a><span class="lineno"> 1011</span>&#160;<span class="comment">    span_index - [in]</span></div>
<div class="line"><a name="l01012"></a><span class="lineno"> 1012</span>&#160;<span class="comment">      The index of a non-empty span to remove.</span></div>
<div class="line"><a name="l01013"></a><span class="lineno"> 1013</span>&#160;<span class="comment">        span_index &gt;= 0</span></div>
<div class="line"><a name="l01014"></a><span class="lineno"> 1014</span>&#160;<span class="comment">        span_index &lt;= m_cv_count-m_order</span></div>
<div class="line"><a name="l01015"></a><span class="lineno"> 1015</span>&#160;<span class="comment">        m_knot[span_index+m_order-2] &lt; m_knot[span_index+m_order-1]</span></div>
<div class="line"><a name="l01016"></a><span class="lineno"> 1016</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l01017"></a><span class="lineno"> 1017</span>&#160;<span class="comment">    True if the span was successfully removed.</span></div>
<div class="line"><a name="l01018"></a><span class="lineno"> 1018</span>&#160;<span class="comment">  Remarks:</span></div>
<div class="line"><a name="l01019"></a><span class="lineno"> 1019</span>&#160;<span class="comment">    The NURBS curve must have 2 or more spans (m_cv_count &gt; m_order).</span></div>
<div class="line"><a name="l01020"></a><span class="lineno"> 1020</span>&#160;<span class="comment">    Set m0 = mulitiplicity of the knot at m_knot[span_index+m_order-2]</span></div>
<div class="line"><a name="l01021"></a><span class="lineno"> 1021</span>&#160;<span class="comment">    and m1 = mulitiplicity of the knot at m_knot[span_index+m_order-1].</span></div>
<div class="line"><a name="l01022"></a><span class="lineno"> 1022</span>&#160;<span class="comment">    If (m0 + m1) &lt; degree, then the degree-(m0+m1) cvs will be added</span></div>
<div class="line"><a name="l01023"></a><span class="lineno"> 1023</span>&#160;<span class="comment">    to the NURBS curve. If (m0+m1) &gt; degree, then (m0+m1)-degree cvs will</span></div>
<div class="line"><a name="l01024"></a><span class="lineno"> 1024</span>&#160;<span class="comment">    be removed from the curve.</span></div>
<div class="line"><a name="l01025"></a><span class="lineno"> 1025</span>&#160;<span class="comment">  See Also:</span></div>
<div class="line"><a name="l01026"></a><span class="lineno"> 1026</span>&#160;<span class="comment">    ON_NurbsCurve::RepairBadKnots()</span></div>
<div class="line"><a name="l01027"></a><span class="lineno"> 1027</span>&#160;<span class="comment">    ON_NurbsCurve::RemoveShortSegments()</span></div>
<div class="line"><a name="l01028"></a><span class="lineno"> 1028</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l01029"></a><span class="lineno"> 1029</span>&#160;  <span class="keywordtype">bool</span> RemoveSpan(</div>
<div class="line"><a name="l01030"></a><span class="lineno"> 1030</span>&#160;    <span class="keywordtype">int</span> span_index </div>
<div class="line"><a name="l01031"></a><span class="lineno"> 1031</span>&#160;    );</div>
<div class="line"><a name="l01032"></a><span class="lineno"> 1032</span>&#160; </div>
<div class="line"><a name="l01033"></a><span class="lineno"> 1033</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l01034"></a><span class="lineno"> 1034</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l01035"></a><span class="lineno"> 1035</span>&#160;<span class="comment">    Number of spans removed.</span></div>
<div class="line"><a name="l01036"></a><span class="lineno"> 1036</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l01037"></a><span class="lineno"> 1037</span>&#160;  <span class="keywordtype">int</span> RemoveSingularSpans();</div>
<div class="line"><a name="l01038"></a><span class="lineno"> 1038</span>&#160; </div>
<div class="line"><a name="l01040"></a><span class="lineno"> 1040</span>&#160;  <span class="comment">// Returns true if the NURBS curve has bezier spans </span></div>
<div class="line"><a name="l01041"></a><span class="lineno"> 1041</span>&#160;  <span class="comment">// (all distinct knots have multiplitity = degree)</span></div>
<div class="line"><a name="l01042"></a><span class="lineno"> 1042</span>&#160;  <span class="keywordtype">bool</span> HasBezierSpans() <span class="keyword">const</span>;</div>
<div class="line"><a name="l01043"></a><span class="lineno"> 1043</span>&#160; </div>
<div class="line"><a name="l01044"></a><span class="lineno"> 1044</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l01045"></a><span class="lineno"> 1045</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l01046"></a><span class="lineno"> 1046</span>&#160;<span class="comment">    Clamps ends and adds knots so the NURBS curve has bezier spans </span></div>
<div class="line"><a name="l01047"></a><span class="lineno"> 1047</span>&#160;<span class="comment">   (all distinct knots have multiplitity = degree).</span></div>
<div class="line"><a name="l01048"></a><span class="lineno"> 1048</span>&#160;<span class="comment">  Paremeters:</span></div>
<div class="line"><a name="l01049"></a><span class="lineno"> 1049</span>&#160;<span class="comment">    bSetEndWeightsToOne - [in] If true and the first or last weight is</span></div>
<div class="line"><a name="l01050"></a><span class="lineno"> 1050</span>&#160;<span class="comment">       not one, then the first and last spans are reparameterized so </span></div>
<div class="line"><a name="l01051"></a><span class="lineno"> 1051</span>&#160;<span class="comment">       that the end weights are one.</span></div>
<div class="line"><a name="l01052"></a><span class="lineno"> 1052</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l01053"></a><span class="lineno"> 1053</span>&#160;<span class="comment">    true if successful.</span></div>
<div class="line"><a name="l01054"></a><span class="lineno"> 1054</span>&#160;<span class="comment">  */</span>      </div>
<div class="line"><a name="l01055"></a><span class="lineno"> 1055</span>&#160;  <span class="keywordtype">bool</span> MakePiecewiseBezier( </div>
<div class="line"><a name="l01056"></a><span class="lineno"> 1056</span>&#160;        <span class="keywordtype">bool</span> bSetEndWeightsToOne = <span class="keyword">false</span></div>
<div class="line"><a name="l01057"></a><span class="lineno"> 1057</span>&#160;        );</div>
<div class="line"><a name="l01058"></a><span class="lineno"> 1058</span>&#160; </div>
<div class="line"><a name="l01059"></a><span class="lineno"> 1059</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l01060"></a><span class="lineno"> 1060</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l01061"></a><span class="lineno"> 1061</span>&#160;<span class="comment">    Use a combination of scaling and reparameterization to change</span></div>
<div class="line"><a name="l01062"></a><span class="lineno"> 1062</span>&#160;<span class="comment">    the end weights to the specified values.</span></div>
<div class="line"><a name="l01063"></a><span class="lineno"> 1063</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l01064"></a><span class="lineno"> 1064</span>&#160;<span class="comment">    w0 - [in] weight for first cv</span></div>
<div class="line"><a name="l01065"></a><span class="lineno"> 1065</span>&#160;<span class="comment">    w1 - [in] weight for last cv</span></div>
<div class="line"><a name="l01066"></a><span class="lineno"> 1066</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l01067"></a><span class="lineno"> 1067</span>&#160;<span class="comment">    true if successful.</span></div>
<div class="line"><a name="l01068"></a><span class="lineno"> 1068</span>&#160;<span class="comment">  See Also:</span></div>
<div class="line"><a name="l01069"></a><span class="lineno"> 1069</span>&#160;<span class="comment">    ON_ChangeRationalNurbsCurveEndWeights</span></div>
<div class="line"><a name="l01070"></a><span class="lineno"> 1070</span>&#160;<span class="comment">  Remarks:</span></div>
<div class="line"><a name="l01071"></a><span class="lineno"> 1071</span>&#160;<span class="comment">    The domain, eucleanean locations of the control points,</span></div>
<div class="line"><a name="l01072"></a><span class="lineno"> 1072</span>&#160;<span class="comment">    and locus of the curve do not change, but the weights,</span></div>
<div class="line"><a name="l01073"></a><span class="lineno"> 1073</span>&#160;<span class="comment">    homogeneous cv values and internal knot values may change.</span></div>
<div class="line"><a name="l01074"></a><span class="lineno"> 1074</span>&#160;<span class="comment">    If w0 and w1 are 1 and the curve is not rational, the </span></div>
<div class="line"><a name="l01075"></a><span class="lineno"> 1075</span>&#160;<span class="comment">    curve is not changed.</span></div>
<div class="line"><a name="l01076"></a><span class="lineno"> 1076</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l01077"></a><span class="lineno"> 1077</span>&#160;  <span class="keywordtype">bool</span> ChangeEndWeights( <span class="keywordtype">double</span> w0, <span class="keywordtype">double</span> w1 );</div>
<div class="line"><a name="l01078"></a><span class="lineno"> 1078</span>&#160; </div>
<div class="line"><a name="l01079"></a><span class="lineno"> 1079</span>&#160;  <span class="comment">/*</span></div>
<div class="line"><a name="l01080"></a><span class="lineno"> 1080</span>&#160;<span class="comment">  Description:</span></div>
<div class="line"><a name="l01081"></a><span class="lineno"> 1081</span>&#160;<span class="comment">    Use a linear fractional transformation to reparameterize </span></div>
<div class="line"><a name="l01082"></a><span class="lineno"> 1082</span>&#160;<span class="comment">    the NURBS curve.  This does not change the curve&#39;s domain.</span></div>
<div class="line"><a name="l01083"></a><span class="lineno"> 1083</span>&#160;<span class="comment">  Parameters:</span></div>
<div class="line"><a name="l01084"></a><span class="lineno"> 1084</span>&#160;<span class="comment">    c - [in]</span></div>
<div class="line"><a name="l01085"></a><span class="lineno"> 1085</span>&#160;<span class="comment">      reparameterization constant (generally speaking, c should be &gt; 0).</span></div>
<div class="line"><a name="l01086"></a><span class="lineno"> 1086</span>&#160;<span class="comment">      The control points and knots are adjusted so that </span></div>
<div class="line"><a name="l01087"></a><span class="lineno"> 1087</span>&#160;<span class="comment">      output_nurbs(t) = input_nurbs(lambda(t)), where</span></div>
<div class="line"><a name="l01088"></a><span class="lineno"> 1088</span>&#160;<span class="comment">      lambda(t) = c*t/( (c-1)*t + 1 ).</span></div>
<div class="line"><a name="l01089"></a><span class="lineno"> 1089</span>&#160;<span class="comment">      Note that lambda(0) = 0, lambda(1) = 1, lambda&#39;(t) &gt; 0, </span></div>
<div class="line"><a name="l01090"></a><span class="lineno"> 1090</span>&#160;<span class="comment">      lambda&#39;(0) = c and lambda&#39;(1) = 1/c.</span></div>
<div class="line"><a name="l01091"></a><span class="lineno"> 1091</span>&#160;<span class="comment">  Returns:</span></div>
<div class="line"><a name="l01092"></a><span class="lineno"> 1092</span>&#160;<span class="comment">    true if successful.  </span></div>
<div class="line"><a name="l01093"></a><span class="lineno"> 1093</span>&#160;<span class="comment">  Remarks:</span></div>
<div class="line"><a name="l01094"></a><span class="lineno"> 1094</span>&#160;<span class="comment">    The cv and knot values are values are changed so that</span></div>
<div class="line"><a name="l01095"></a><span class="lineno"> 1095</span>&#160;<span class="comment">    output_nurbs(t) = input_nurbs(lambda(t)).</span></div>
<div class="line"><a name="l01096"></a><span class="lineno"> 1096</span>&#160;<span class="comment">  See Also:</span></div>
<div class="line"><a name="l01097"></a><span class="lineno"> 1097</span>&#160;<span class="comment">    ON_ReparameterizeRationalNurbsCurve</span></div>
<div class="line"><a name="l01098"></a><span class="lineno"> 1098</span>&#160;<span class="comment">  */</span></div>
<div class="line"><a name="l01099"></a><span class="lineno"> 1099</span>&#160;  <span class="keywordtype">bool</span> Reparameterize( <span class="keywordtype">double</span> c );</div>
<div class="line"><a name="l01100"></a><span class="lineno"> 1100</span>&#160; </div>
<div class="line"><a name="l01101"></a><span class="lineno"> 1101</span>&#160; </div>
<div class="line"><a name="l01102"></a><span class="lineno"> 1102</span>&#160; </div>
<div class="line"><a name="l01104"></a><span class="lineno"> 1104</span>&#160;  <span class="comment">// Implementation</span></div>
<div class="line"><a name="l01105"></a><span class="lineno"> 1105</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l01106"></a><span class="lineno"> 1106</span>&#160;  <span class="comment">// NOTE: These members are left &quot;public&quot; so that expert users may efficiently</span></div>
<div class="line"><a name="l01107"></a><span class="lineno"> 1107</span>&#160;  <span class="comment">//       create NURBS curves using the default constructor and borrow the</span></div>
<div class="line"><a name="l01108"></a><span class="lineno"> 1108</span>&#160;  <span class="comment">//       knot and CV arrays from their native NURBS representation.</span></div>
<div class="line"><a name="l01109"></a><span class="lineno"> 1109</span>&#160;  <span class="comment">//       No technical support will be provided for users who access these</span></div>
<div class="line"><a name="l01110"></a><span class="lineno"> 1110</span>&#160;  <span class="comment">//       members directly.  If you can&#39;t get your stuff to work, then use</span></div>
<div class="line"><a name="l01111"></a><span class="lineno"> 1111</span>&#160;  <span class="comment">//       the constructor with the arguments and the SetKnot() and SetCV()</span></div>
<div class="line"><a name="l01112"></a><span class="lineno"> 1112</span>&#160;  <span class="comment">//       functions to fill in the arrays.</span></div>
<div class="line"><a name="l01113"></a><span class="lineno"> 1113</span>&#160; </div>
<div class="line"><a name="l01114"></a><span class="lineno"> 1114</span>&#160;  <span class="keywordtype">int</span>     m_dim;            <span class="comment">// (&gt;=1)</span></div>
<div class="line"><a name="l01115"></a><span class="lineno"> 1115</span>&#160; </div>
<div class="line"><a name="l01116"></a><span class="lineno"> 1116</span>&#160;  <span class="keywordtype">int</span>     m_is_rat;         <span class="comment">// 1 for rational B-splines. (Rational control</span></div>
<div class="line"><a name="l01117"></a><span class="lineno"> 1117</span>&#160;                            <span class="comment">// vertices use homogeneous form.)</span></div>
<div class="line"><a name="l01118"></a><span class="lineno"> 1118</span>&#160;                            <span class="comment">// 0 for non-rational B-splines. (Control</span></div>
<div class="line"><a name="l01119"></a><span class="lineno"> 1119</span>&#160;                            <span class="comment">// verticies do not have a weight coordinate.)</span></div>
<div class="line"><a name="l01120"></a><span class="lineno"> 1120</span>&#160; </div>
<div class="line"><a name="l01121"></a><span class="lineno"> 1121</span>&#160;  <span class="keywordtype">int</span>     m_order;          <span class="comment">// order = degree+1 (&gt;=2)</span></div>
<div class="line"><a name="l01122"></a><span class="lineno"> 1122</span>&#160; </div>
<div class="line"><a name="l01123"></a><span class="lineno"> 1123</span>&#160;  <span class="keywordtype">int</span>     m_cv_count;       <span class="comment">// number of control vertices ( &gt;= order )</span></div>
<div class="line"><a name="l01124"></a><span class="lineno"> 1124</span>&#160; </div>
<div class="line"><a name="l01125"></a><span class="lineno"> 1125</span>&#160;  <span class="comment">// knot vector memory</span></div>
<div class="line"><a name="l01126"></a><span class="lineno"> 1126</span>&#160; </div>
<div class="line"><a name="l01127"></a><span class="lineno"> 1127</span>&#160;  <span class="keywordtype">int</span>     m_knot_capacity;  <span class="comment">// If m_knot_capacity &gt; 0, then m_knot[]</span></div>
<div class="line"><a name="l01128"></a><span class="lineno"> 1128</span>&#160;                            <span class="comment">// is an array of at least m_knot_capacity</span></div>
<div class="line"><a name="l01129"></a><span class="lineno"> 1129</span>&#160;                            <span class="comment">// doubles whose memory is managed by the</span></div>
<div class="line"><a name="l01130"></a><span class="lineno"> 1130</span>&#160;                            <span class="comment">// ON_NurbsCurve class using rhmalloc(),</span></div>
<div class="line"><a name="l01131"></a><span class="lineno"> 1131</span>&#160;                            <span class="comment">// onrealloc(), and rhfree().</span></div>
<div class="line"><a name="l01132"></a><span class="lineno"> 1132</span>&#160;                            <span class="comment">// If m_knot_capacity is 0 and m_knot is</span></div>
<div class="line"><a name="l01133"></a><span class="lineno"> 1133</span>&#160;                            <span class="comment">// not NULL, then  m_knot[] is assumed to</span></div>
<div class="line"><a name="l01134"></a><span class="lineno"> 1134</span>&#160;                            <span class="comment">// be big enough for any requested operation</span></div>
<div class="line"><a name="l01135"></a><span class="lineno"> 1135</span>&#160;                            <span class="comment">// and m_knot[] is not deleted by the</span></div>
<div class="line"><a name="l01136"></a><span class="lineno"> 1136</span>&#160;                            <span class="comment">// destructor.</span></div>
<div class="line"><a name="l01137"></a><span class="lineno"> 1137</span>&#160; </div>
<div class="line"><a name="l01138"></a><span class="lineno"> 1138</span>&#160;  <span class="keywordtype">double</span>* m_knot;           <span class="comment">// Knot vector. ( The knot vector has length</span></div>
<div class="line"><a name="l01139"></a><span class="lineno"> 1139</span>&#160;                            <span class="comment">// m_order+m_cv_count-2. )</span></div>
<div class="line"><a name="l01140"></a><span class="lineno"> 1140</span>&#160;  </div>
<div class="line"><a name="l01141"></a><span class="lineno"> 1141</span>&#160;  <span class="comment">// control vertex net memory</span></div>
<div class="line"><a name="l01142"></a><span class="lineno"> 1142</span>&#160; </div>
<div class="line"><a name="l01143"></a><span class="lineno"> 1143</span>&#160;  <span class="keywordtype">int</span>     m_cv_stride;      <span class="comment">// The pointer to start of &quot;CV[i]&quot; is</span></div>
<div class="line"><a name="l01144"></a><span class="lineno"> 1144</span>&#160;                            <span class="comment">//   m_cv + i*m_cv_stride.</span></div>
<div class="line"><a name="l01145"></a><span class="lineno"> 1145</span>&#160; </div>
<div class="line"><a name="l01146"></a><span class="lineno"> 1146</span>&#160;  <span class="keywordtype">int</span>     m_cv_capacity;    <span class="comment">// If m_cv_capacity &gt; 0, then m_cv[] is an array</span></div>
<div class="line"><a name="l01147"></a><span class="lineno"> 1147</span>&#160;                            <span class="comment">// of at least m_cv_capacity doubles whose</span></div>
<div class="line"><a name="l01148"></a><span class="lineno"> 1148</span>&#160;                            <span class="comment">// memory is managed by the ON_NurbsCurve</span></div>
<div class="line"><a name="l01149"></a><span class="lineno"> 1149</span>&#160;                            <span class="comment">// class using rhmalloc(), onrealloc(), and rhfree().</span></div>
<div class="line"><a name="l01150"></a><span class="lineno"> 1150</span>&#160;                            <span class="comment">// If m_cv_capacity is 0 and m_cv is not</span></div>
<div class="line"><a name="l01151"></a><span class="lineno"> 1151</span>&#160;                            <span class="comment">// NULL, then m_cv[] is assumed to be big enough</span></div>
<div class="line"><a name="l01152"></a><span class="lineno"> 1152</span>&#160;                            <span class="comment">// for any requested operation and m_cv[] is not</span></div>
<div class="line"><a name="l01153"></a><span class="lineno"> 1153</span>&#160;                            <span class="comment">// deleted by the destructor.</span></div>
<div class="line"><a name="l01154"></a><span class="lineno"> 1154</span>&#160; </div>
<div class="line"><a name="l01155"></a><span class="lineno"> 1155</span>&#160;  <span class="keywordtype">double</span>* m_cv;             <span class="comment">// Control points.</span></div>
<div class="line"><a name="l01156"></a><span class="lineno"> 1156</span>&#160;                            <span class="comment">// If m_is_rat is false, then control point is</span></div>
<div class="line"><a name="l01157"></a><span class="lineno"> 1157</span>&#160;                            <span class="comment">//</span></div>
<div class="line"><a name="l01158"></a><span class="lineno"> 1158</span>&#160;                            <span class="comment">//          ( CV(i)[0], ..., CV(i)[m_dim-1] ).</span></div>
<div class="line"><a name="l01159"></a><span class="lineno"> 1159</span>&#160;                            <span class="comment">//</span></div>
<div class="line"><a name="l01160"></a><span class="lineno"> 1160</span>&#160;                            <span class="comment">// If m_is_rat is true, then the control point</span></div>
<div class="line"><a name="l01161"></a><span class="lineno"> 1161</span>&#160;                            <span class="comment">// is stored in HOMOGENEOUS form and is</span></div>
<div class="line"><a name="l01162"></a><span class="lineno"> 1162</span>&#160;                            <span class="comment">//</span></div>
<div class="line"><a name="l01163"></a><span class="lineno"> 1163</span>&#160;                            <span class="comment">//           [ CV(i)[0], ..., CV(i)[m_dim] ].</span></div>
<div class="line"><a name="l01164"></a><span class="lineno"> 1164</span>&#160;                            <span class="comment">//</span></div>
<div class="line"><a name="l01165"></a><span class="lineno"> 1165</span>&#160;};</div>
<div class="line"><a name="l01166"></a><span class="lineno"> 1166</span>&#160; </div>
<div class="line"><a name="l01167"></a><span class="lineno"> 1167</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="ttc" id="aclass_o_n__3d_point_html"><div class="ttname"><a href="class_o_n__3d_point.html">ON_3dPoint</a></div><div class="ttdef"><b>Definition:</b> opennurbs_point.h:419</div></div>
<div class="ttc" id="aclass_o_n__4d_point_html"><div class="ttname"><a href="class_o_n__4d_point.html">ON_4dPoint</a></div><div class="ttdef"><b>Definition:</b> opennurbs_point.h:573</div></div>
<div class="ttc" id="aclass_o_n___arc_html"><div class="ttname"><a href="class_o_n___arc.html">ON_Arc</a></div><div class="ttdef"><b>Definition:</b> opennurbs_arc.h:35</div></div>
<div class="ttc" id="aclass_o_n___bezier_curve_html"><div class="ttname"><a href="class_o_n___bezier_curve.html">ON_BezierCurve</a></div><div class="ttdef"><b>Definition:</b> opennurbs_bezier.h:149</div></div>
<div class="ttc" id="aclass_o_n___binary_archive_html"><div class="ttname"><a href="class_o_n___binary_archive.html">ON_BinaryArchive</a></div><div class="ttdef"><b>Definition:</b> opennurbs_archive.h:732</div></div>
<div class="ttc" id="aclass_o_n___curve_html"><div class="ttname"><a href="class_o_n___curve.html">ON_Curve</a></div><div class="ttdef"><b>Definition:</b> opennurbs_curve.h:89</div></div>
<div class="ttc" id="aclass_o_n___interval_html"><div class="ttname"><a href="class_o_n___interval.html">ON_Interval</a></div><div class="ttdef"><b>Definition:</b> opennurbs_point.h:49</div></div>
<div class="ttc" id="aclass_o_n___line_html"><div class="ttname"><a href="class_o_n___line.html">ON_Line</a></div><div class="ttdef"><b>Definition:</b> opennurbs_line.h:21</div></div>
<div class="ttc" id="aclass_o_n___nurbs_curve_html"><div class="ttname"><a href="class_o_n___nurbs_curve.html">ON_NurbsCurve</a></div><div class="ttdef"><b>Definition:</b> opennurbs_nurbscurve.h:30</div></div>
<div class="ttc" id="aclass_o_n___nurbs_curve_html_af932729caddbae7bbf5baa29ecd50366"><div class="ttname"><a href="class_o_n___nurbs_curve.html#af932729caddbae7bbf5baa29ecd50366">ON_NurbsCurve::GetSpanVector</a></div><div class="ttdeci">ON_BOOL32 GetSpanVector(double *knot_values) const</div><div class="ttdoc">(m_knot[m_order-2],...,m_knot[m_cv_count-1)</div></div>
<div class="ttc" id="aclass_o_n___plane_html"><div class="ttname"><a href="class_o_n___plane.html">ON_Plane</a></div><div class="ttdef"><b>Definition:</b> opennurbs_plane.h:21</div></div>
<div class="ttc" id="aclass_o_n___simple_array_html"><div class="ttname"><a href="class_o_n___simple_array.html">ON_SimpleArray&lt; ON_3dPoint &gt;</a></div></div>
<div class="ttc" id="aclass_o_n___text_log_html"><div class="ttname"><a href="class_o_n___text_log.html">ON_TextLog</a></div><div class="ttdef"><b>Definition:</b> opennurbs_textlog.h:23</div></div>
<div class="ttc" id="aclass_o_n___xform_html"><div class="ttname"><a href="class_o_n___xform.html">ON_Xform</a></div><div class="ttdef"><b>Definition:</b> opennurbs_xform.h:29</div></div>
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